Fractions + system of equations - practice problems - page 2 of 9
Number of problems found: 163
- Lenka and money
When Lenka bought pants from 1/3 of her savings shirt from 1/5 and 1/8 spent at the hairdresser, she was left 328 CZK. How much money was saved? How much do hairdressers cost? - Children 82437
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class? - Guess a fraction
Tom was asked to guess a fraction. The sum of 1/2 of the numerator and 1/3 of its denominator is 30. If Tom subtracts 36 from its denominator, the fraction becomes 1/3. What is the fraction that Tom was asked to guess? (Leave your answer in the simplest f - The four
The four pirates divided 65 coins into each other. They were sorted by age, the youngest receiving the least number of coins, each half more than the previous one. How many coins did the oldest pirate receive?
- Students 26111
There were 24 pupils from the whole class on the school trip. Out of 4/7 of all girls, ¼ did not go. Since all the boys went, there were an equal number of boys and girls on the trip. How many students are there in the class? How many boys are there? - Grandmother 9451
Petr and Honza received 315 CZK from their grandmother. Petr Dostál a third more than Honza. How many crowns did each of them have? - Two-thirds 7811
Mr. Trnka received a reward. He put half of it in the passbook, gave two-thirds of the rest to his wife, and still had € 1,200 left. How much did Mr. Trnka receive? - Supermarket 2
A supermarket had a buko pie sale. In the morning, they sold 2/3 of the pies, and in the afternoon, they sold 1/6 of the pies. If 150 pies were left, how many pies had been sold? Show your solution. - Gasoline tank 2
A gasoline tank is 1/6 full. When the family added 25 liters of gasoline, it became 3/4 full. How many are liters more needed to fill them? Show your solution.
- Kilograms 11481
The three melons weigh a total of 18 1/2 kg. The first weighs 1 1/4 kg more than the second and 2 3/4 kilograms more than the third. How much do melons weigh in kilograms? - Three-quarters 5746
Ondra found that three-quarters of a bag of washing powder was used up in their family in 12 weeks. How many more weeks will they last? How long does a whole bag of washing powder last? - Student's 4287
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? - Trio ratio
Hans, Alena, and Thomas have a total of 740 USD. Hans and Alena split in the ratio of 5:6, and Alena and Thomas in the ratio of 4:5. How much will everyone get? - New ratio
The ratio of ducks and chickens in our yard is 2 : 3. The total number of ducks and chickens together is 30. The mother gave 3 of the chickens to our neighbor. What is the new ratio now?
- Penguins 41161
There were 10 more reindeer than penguins in the ice kingdom. But the lousy witch captured a third of the reindeer. There were only 22 reindeer left in the kingdom. How many penguins lived in the ice kingdom before the evil witch came? - Precisely 7199
If Peter had 700 CZK more, he would have the same as Jirka. Zdenek has a third of what Peter precisely. Together they have 7000 CZK. How much does everyone have? - Copper parts
The metallurgic company made three parts from the copper cast. The first consumed one-third of the casting, the second 2/3 of the rest, and the third weighed 18 kg. What is the weight of the original copper cast? - Coal storage
The coal storage distribution received coal shipment within three days. On the first day, distribute a third of the shipments, on the second day of two-fifths of the rest, and on the third day, 300 tons of coal. How many tons of coal were distributed firs - Original 6497
Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers?
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