System of equations - math word problems - page 82 of 110
Number of problems found: 2182
- Bonus sequence
The bonuses were paid to four people in sequence, with each subsequent person receiving double what the previous person received. How many crowns in premiums did each person receive, if a total of 2625 CZK was paid for all premiums? - Gasoline canisters
Thirty-five liters of gasoline is to be divided into four canisters so that the third canister will have 5 liters less than the first canister, the fourth canister 10 liters more than the third canister, and the second canister half of that in the first c - Student scores
Dorka had a total of 22 marks in her student book. She had three times less than three ones. She had only two doubles. How many units did Dorka have in the student's book, and how many threes? - Brother ages
Jan is five years older than Pavel. Jan's age is 7/6 Dusan's age. All the brothers are 195 years old together. How old is Jan? - Stolen ducats
The unfortunate landowner had 49 ducats more than Jurosik. How many ducats did Jurosik steal from the landowner if he now has five ducats more than the landowner? - The bag
Nelly found an interesting point. An empty bag weighs 4 kg less than the full. An empty bag is five times easier than a full. How many kg weigh things in this bag? - Apples
I picked 600 kg of apples this year. Autumn's apples were four times more plentiful than summer's. How many kilograms do I pick in the summer, and how many winter apples? - Currency equivalence They have their own money in the magical land, Fu, Ru, and Mu. Three Mu are equal to five Ru. Six Ru is equal to eighteen Fu. How many Fu are equivalent to one Mu?
- Unions now
The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male and 23% female. Plant management reported that 20% of all employees are in the trade union. How many men and women are in the plant, and how many are men and women in trade union - Work together
Michael and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michael. Determine when Dorota will do the work herself and when Michael will do it himself. - Potatoes
Danielle and Michael would jointly dig potatoes for 7.5 hours. But if Danielle was working alone, she would take 2.5 hours more than if he were working with Michael. Determine how long Michael would take alone and how long Danielle would take alone. - Work time
Danielle and Michael would dig potatoes together in 7.5 hours. But if Danielle worked alone, it would take her 2.5 hours more than Michael. Find how long it would take Michael alone and how long it would take Danielle alone. - Baskets of apples Grandfather gathered apples into baskets. He filled one large and three small baskets. Small baskets are identical; each can hold 3 kg of apples less than in a large basket. In small baskets together, 3 kg of apples over a large basket. How many kilograms
- Three friends
Three friend squirrels together went to collect hazelnuts. Zrzecka found more than twice Pizizubka, and Ouska was even three times more than Pizizubka. On the way home, they talked while eating and cracked her nuts. Pizizubka ate half of all the nuts coll - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Grandmother - vaccation
Annie went to her grandmother's for spring break. She paid CZK 38 for the trip, which was two-ninths of their savings. She bought a gift for her grandmother for 35.50 CZK and a book for her cousin Milo for 16.70 CZK. How many crowns did she have left to s - Triangle sides
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The perimeter of the triangle is 58 cm. Calculate the lengths of the sides of this triangle. - Consecutive numbers
The sum of four consecutive natural numbers is 90. Determine these numbers. - Children
The group has 42 children. There are four more boys than girls. How many boys and girls are in the group? - Chestnuts weight
Two pupils handed in 161 kg of chestnuts in the hunting lodge. The first student handed in 9 kilograms more than the second student. How many kilos of chestnuts did each give?
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