Basic word problems

{"questions":[{"content":"A boy is $11$ years old. His brother is $5$ years older, and their mother is $3$ times as old as the brother. How old is their mother?[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/rozhdestvo-semya-uzhin-elka-novyj-god-5.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$48$","$35$","$20$"],"placeholder":0,"answer":0}},"step":1,"hints":["His brother is $5$ years older: $$11+5=16$$","And mother is $3$ times as old as brother: $$16\\cdot3=48$$"]},{"content":"The book has $220$ pages. On the first day, Obrazavr read $25$ pages, on the second - $125$ pages. How many pages does he have left to read?[[image-4]][[fill_choice_big-542]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/obrazavr_skuchayushhij.svg","width":"299"},"fill_choice_big-542":{"type":"fill_choice_big","options":["$70$","$150$","$50$"],"placeholder":0,"answer":0}},"step":1,"hints":["Obrazavr read in two days: $$25+125=150$$","There are $220$ pages in the book, which means there are only left to read: $$220-150=70$$"]},{"content":"Ixeratops had $200\\space \\text{rubles}.$ and another $7$ coins, $5\\space \\text{rubles}.$ each. How much money did Ixeratops have in total?[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/11/svobodnoe13.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$235\\space \\text{rubles}.$","$205\\space \\text{rubles}.$","$230\\space \\text{rubles}.$"],"placeholder":0,"answer":0}},"step":1,"hints":["Ixeratops had $7$ coins for $5$ rubles: $$7\\cdot5=35$$","Total Ixeratops had: $$200+35=235$$"]},{"content":"$8$ identical boats have $48$ seats in total. How many seats are there in $2$ such boats?[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/lodka_parus-01.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$12$","$2$","$18$"],"placeholder":0,"answer":0}},"step":1,"hints":["In $8$ boats $48$ places, which means in one boat: $$48:8=6$$","In $2$ such boats: $$6\\cdot2=12$$"]},{"content":"For $3$ days, the children collected $78$ mushrooms. Of these, $18$ mushrooms were collected on the first day, and $30.$ on the second. How many mushrooms were collected on the third day?[[image-100]][[fill_choice_big-675]]","widgets":{"image-100":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/10/griby-01.svg","width":"299"},"fill_choice_big-675":{"type":"fill_choice_big","options":["$30$","$40$","$28$"],"placeholder":0,"answer":0}},"step":1,"hints":["In the first two days we collected: $$18+30=48$$","The total is $78$ mushrooms, so the number collected on the third day is: $$78-48=30$$"]},{"content":"To fill a bathtub with a capacity of $120\\space L,$ you need $12$ buckets of water. How much water is in one bucket?[[image-81]][[fill_choice_big-716]]","widgets":{"image-81":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/vanna-moetsya-v-vannoj-1.svg","width":"298"},"fill_choice_big-716":{"type":"fill_choice_big","options":["$10\\space L$","$15\\space L$","$20\\space L$"],"placeholder":0,"answer":0}},"step":1,"hints":["To fill a bathtub with a capacity of $120\\space L,$ you need $12$ buckets of water, which means one bucket holds: $$120:12=10$$"]},{"content":"There are $21$ bushes in a garden. Each needs $2$ ladles of water. How many ladles are needed to water all the bushes?[[image-64]][[fill_choice_big-757]]","widgets":{"image-64":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/09/zemlyanika.svg","width":"300"},"fill_choice_big-757":{"type":"fill_choice_big","options":["$42$","$23$","$36$"],"placeholder":0,"answer":0}},"step":1,"hints":["There are $21$ bushes, and each needs $2$ ladles of water: $$21\\cdot2=42$$"]},{"content":"$14$ students attend an after-school care program, and $6$ fewer attend a sports club. How many students attend the sports club?[[image-49]][[fill_choice_big-798]]","widgets":{"image-49":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/11/obrazavr_break.svg","width":"299"},"fill_choice_big-798":{"type":"fill_choice_big","options":["$8$","$10$","$20$"],"placeholder":0,"answer":0}},"step":1,"hints":["The sports club has $6$ fewer students than the after-school care program:$$14-6=8$$"]},{"content":"There are $260$ seats on the ship, but there are $210$ fewer seats on the bus. How many seats are there on the boat and on the bus?[[image-36]][[fill_choice_big-839]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/07/korabl-kapitan-matros-01.svg","width":"300"},"fill_choice_big-839":{"type":"fill_choice_big","options":["$310$","$470$","$280$"],"placeholder":0,"answer":0}},"step":1,"hints":["There are $260$ seats on the ship, and there are $210$ fewer seats on the bus: $$260-210=50$$","Total on the boat and on the bus: $$260+50=310$$"]},{"content":"Obrazavr collected $37$ fruits, and Reshavr collected $23.$ Among these fruits there were $11$ spoiled fruits. How many unspoiled fruits did the dinosaurs collect?[[image-25]][[fill_choice_big-880]]","widgets":{"image-25":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/08/mak2.svg","width":"300"},"fill_choice_big-880":{"type":"fill_choice_big","options":["$49$","$50$","$60$"],"placeholder":0,"answer":0}},"step":1,"hints":["The dinosaurs collected this many in total: $$37+23=60$$","Among these fruits there was $11$ spoiled:$$60-11=49$$"]}]}

{"questions":[{"content":"A girl is $8$ years old. Her father is $7$ times as old, and her mother is $6$ years younger than her father. How old is her mother?[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/09/semya-s-kotom.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$50$","$56$","$35$"],"placeholder":0,"answer":0}},"step":1,"hints":["Dad is $7$ times as old as his daughter: $$8\\cdot 7 =56$$","And mom is $6$ years younger than dad: $$56-6=50$$"]},{"content":"The book has $300$ pages. On the first day, Reshavr read $83$ pages, on the second - $17$ pages. How many pages does he have left to read?[[image-4]][[fill_choice_big-542]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/12/obrazavr_udostoverenie-lichnosti.svg","width":"299"},"fill_choice_big-542":{"type":"fill_choice_big","options":["$200$","$150$","$50$"],"placeholder":0,"answer":0}},"step":1,"hints":["The student read in two days: $$83+17=100$$","There are $300$ pages in the book, which means there are only left to read: $$300-100=200$$"]},{"content":"Reshavr had $150\\space \\text{rubles}.$ and another $10$ coins, $5\\space \\text{rubles}.$ each. How much money did Reshavr have in total?[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/11/koshelek-2.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$200\\space \\text{rubles}.$","$180\\space \\text{rubles}.$","$250\\space \\text{rubles}.$"],"placeholder":0,"answer":0}},"step":1,"hints":["Reshavr had $10$ coins for $5$ rubles: $$10\\cdot5=50$$","Total Reshavr had: $$150+50=200$$"]},{"content":"$5$ identical buses have $150$ seats in total. How many seats are there in $3$ such buses?[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/avtobus-1.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$90$","$30$","$100$"],"placeholder":0,"answer":0}},"step":1,"hints":["In $5$ buses there are $150$ seats, which means in one bus: $$150:5=30$$","The number of seats in $3$ such buses is: $$30\\cdot3=90$$"]},{"content":"In $3$ days, the children collected $420$ pears. Of these, in the first - $120$ pears, and in the second - $50.$ How many pears were collected on the third day? [[image-100]][[fill_choice_big-675]]","widgets":{"image-100":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/obrazavr_frukty_grusha.svg","width":"299"},"fill_choice_big-675":{"type":"fill_choice_big","options":["$250$","$150$","$220$"],"placeholder":0,"answer":0}},"step":1,"hints":["In the first two days we collected: $$120+50=170$$","The total is $420$ pears, so the number collected on the third day is: $$420-170=250$$"]},{"content":"To fill a bag with a capacity of $50\\space kg,$ you need $5$ buckets of potatoes. How many potatoes are in one bucket?[[image-81]][[fill_choice_big-716]]","widgets":{"image-81":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/obrazavr_kartoshka.svg","width":"298"},"fill_choice_big-716":{"type":"fill_choice_big","options":["$10\\space kg$","$15\\space kg$","$20\\space kg$"],"placeholder":0,"answer":0}},"step":1,"hints":["To fill a bag with a capacity of $50\\space kg,$ you need $5$ buckets of potatoes, which means one bucket holds: $$50:5=10$$"]},{"content":"In the garden there are $8$ bushes. You need to pour $3$ buckets of water under each bush. How many buckets of water are needed to water all these bushes?[[image-64]][[fill_choice_big-757]]","widgets":{"image-64":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/06/figurnyi-kust_ok-01.svg","width":"300"},"fill_choice_big-757":{"type":"fill_choice_big","options":["$24$","$30$","$11$"],"placeholder":0,"answer":0}},"step":1,"hints":["In the garden there are $8$ bushes. Under each bush you need to pour $3$ buckets of water: $$8\\cdot3=24$$"]},{"content":"$22$ people from the class went to the library, and $13$ fewer people went to the cafeteria. How many people went to the dining room?[[image-49]][[fill_choice_big-798]]","widgets":{"image-49":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/09/bibloteka.svg","width":"299"},"fill_choice_big-798":{"type":"fill_choice_big","options":["$9$","$35$","$10$"],"placeholder":0,"answer":0}},"step":1,"hints":["$13$ fewer people went to the canteen than to the library: $$22-13=9$$"]},{"content":"A carriage has $56$ seats and a bus has $4$ more. How many seats are there in the carriage and bus altogether?[[image-36]][[fill_choice_big-839]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/11/obrazavr_school-bus.svg","width":"300"},"fill_choice_big-839":{"type":"fill_choice_big","options":["$116$","$60$","$106$"],"placeholder":0,"answer":0}},"step":1,"hints":["The carriage has $56$ seats and the bus has $4$ more: $$56+4=60$$","Total in the car and bus: $$56+60=116$$"]},{"content":"Obrazavr collected $55$ berries, and Ixeratops collected $60.$ Among these berries were $15$ spoiled. How many unspoiled berries did the dinosaurs collect?[[image-25]][[fill_choice_big-880]]","widgets":{"image-25":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/obrazavr_yagody_malina.svg","width":"300"},"fill_choice_big-880":{"type":"fill_choice_big","options":["$100$","$115$","$55$"],"placeholder":0,"answer":0}},"step":1,"hints":["The dinosaurs collected this many in total: $$55+60=115$$","Among these berries there were $15$ spoiled:$$115-15=100$$"]}]}

{"questions":[{"content":"A boy is $5$ years old. His father is $8$ times as old, and his mother is $3$ years younger than his father. How old is his mother?[[image-1]][[fill_choice_big-511]]","widgets":{"image-1":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/semya-kot-dom-derevya-01.svg","width":"300"},"fill_choice_big-511":{"type":"fill_choice_big","options":["$37$","$34$","$45$"],"placeholder":0,"answer":0}},"step":1,"hints":["Dad is $8$ times as old as his son: $$5\\cdot 8 =40$$","And mom is $3$ years younger than dad: $$40-3=37$$"]},{"content":"The book has $120$ pages. On the first day, the student read $42$ pages, on the second - $38$ pages. How many pages does he have left to read?[[image-4]][[fill_choice_big-542]]","widgets":{"image-4":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/12/book.svg","width":"299"},"fill_choice_big-542":{"type":"fill_choice_big","options":["$40$","$35$","$50$"],"placeholder":0,"answer":0}},"step":1,"hints":["The student read in two days: $$42+38=80$$","There are $120$ pages in the book, which means there are only left to read: $$120-80=40$$"]},{"content":"Obrazavr had $100\\space \\text{rubles}.$ and another $6$ coins, $2\\space \\text{rubles}.$ each. How much money did Obrazavr have in total?[[image-9]][[fill_choice_big-593]]","widgets":{"image-9":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/03/dengi.svg","width":"300"},"fill_choice_big-593":{"type":"fill_choice_big","options":["$112 \\space \\text{rubles}.$","$106\\space \\text{rubles}.$","$96\\space \\text{rubles}.$"],"placeholder":0,"answer":0}},"step":1,"hints":["Obrazavr had $6$ coins for $2$ ruble: $$6\\cdot2=12$$","In total Obrazavr had: $$100+12=112$$"]},{"content":"$4$ identical carriages have $80$ seats in total. How many seats are there in $6$ such carriages?[[image-16]][[fill_choice_big-634]]","widgets":{"image-16":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/06/metro-dvkeri-ne-prislonyatsya.svg","width":"299"},"fill_choice_big-634":{"type":"fill_choice_big","options":["$120$","$100$","$60$"],"placeholder":0,"answer":0}},"step":1,"hints":["In $4$ cars there are $80$ seats, which means in one car: $$80:4=20$$","The number of seats in $6$ such carriages is: $$20\\cdot6=120$$"]},{"content":"$500$ children rested in the camp during the $3$ summer months. Of these, in June - $150$ people, and in July - $200.$ How many people had a vacation in August?[[image-100]][[fill_choice_big-675]]","widgets":{"image-100":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/dzhungli-01.svg","width":"299"},"fill_choice_big-675":{"type":"fill_choice_big","options":["$150$","$200$","$300$"],"placeholder":0,"answer":0}},"step":1,"hints":["Rested in June and July: $$150+200=350$$","A total of $500$ people rested, which means there are: $$500-350=150$$ left in August"]},{"content":"To fill a jar with a capacity of $3000\\space mL,$ you need $15$ glasses of juice. How much juice is in one glass?[[image-81]][[fill_choice_big-716]]","widgets":{"image-81":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/limonad.svg","width":"298"},"fill_choice_big-716":{"type":"fill_choice_big","options":["$200\\space mL$","$250\\space mL$","$150\\space mL$"],"placeholder":0,"answer":0}},"step":1,"hints":["To fill a jar with a capacity of $3000\\space mL,$ you need $15$ glasses of juice, which means one glass holds: $$3000:15=200$$"]},{"content":"There are $12$ apple trees in a garden. Each needs $5$ buckets of water. How many buckets are needed to water all the trees?[[image-64]][[fill_choice_big-757]]","widgets":{"image-64":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/11/svobodnoe1.svg","width":"300"},"fill_choice_big-757":{"type":"fill_choice_big","options":["$60$","$50$","$17$"],"placeholder":0,"answer":0}},"step":1,"hints":["There are $12$ apple trees, and each needs $5$ buckets of water: $$12\\cdot5=60$$"]},{"content":"$24$ people signed up for the club, and $7$ fewer people signed up for the choir. How many people signed up for the choir?[[image-49]][[fill_choice_big-798]]","widgets":{"image-49":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/10/ucheniki-klass-party-6.svg","width":"299"},"fill_choice_big-798":{"type":"fill_choice_big","options":["$17$","$34$","$12$"],"placeholder":0,"answer":0}},"step":1,"hints":["Fewer people signed up for the choir $7$ than for the club: $$24-7=17$$"]},{"content":"One carriage has $35$ seats and another has $12$ more. How many seats are there in both carriages altogether?[[image-36]][[fill_choice_big-839]]","widgets":{"image-36":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2022/08/parovoz.svg","width":"300"},"fill_choice_big-839":{"type":"fill_choice_big","options":["$82$","$75$","$67$"],"placeholder":0,"answer":0}},"step":1,"hints":["One carriage has $35$ seats, and the second has $12$ more seats: $$35+12=47$$","In both carriages: $$35+47=82$$"]},{"content":"Obrazavr found $11$ mushrooms, and Voobrazavr - $12.$ Among these mushrooms there were $5$ inedible. How many edible mushrooms did dinosaurs find?[[image-25]][[fill_choice_big-880]]","widgets":{"image-25":{"type":"image","url":"/wp-content/themes/Main/img/math-port/2023/10/obrazavr_za-stolom.svg","width":"300"},"fill_choice_big-880":{"type":"fill_choice_big","options":["$18$","$20$","$23$"],"placeholder":0,"answer":0}},"step":1,"hints":["Total dinosaurs found: $$11+12=23$$","Among these mushrooms there were $5$ inedible:$$23-5=18$$"]}]}