# System of equations + fractions - practice problems

#### Number of problems found: 62

- Colored balls

There are colored balls in the bag. One third of them are blue, one sixth is green, five twelfths are yellow and the remaining 10 balls are red. How many yellow balls are in the bag? - Money spending

Albert and Peter have an amount of money. If Albert spent $6 and Peter did not spend any, then the ratio of Albert's money to Peter's money is 1:3 . If peter spent $6 and Albert did not spend any the ratio of Albert's money to Peter's money is 3:7.How muc - Two brothers

The two brothers have a total of 48 nuts. Two thirds of the nuts of the first correspond to 2/5 of the number of nuts of the second. How many nuts does everyone have? - The Fraction

The denominator of a Fraction is greater than the numerator by 4. if 11 is added to the numerator and 1 subtracted from the denominator, the value of the fraction obtained is 7/3. What is the original fraction? - The ratio 7

The ratio of the sides of two squares 4:5 if the sum of their areas is 180 cm² Find the sides of the two squares. - What is 16

What is the sum of three consecutive even integers such that six more than twice the second is 2/3 of the first increased by 3/2 of the third? - Two simple

Two simple fraction have the product of 3/10. When the smaller fraction is divided by the bigger fraction, the quotient is 5/6. What are the two fractions in simplest form? - Half of 2

Half of Ethan’s string is equal to 2/3 of Kayla’s string. The total length of their strings is 10 feet. How much longer is Ethan’s string than Kayla’s? - The difference 2

The difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? - In the

In the department store they sell bicycles for families with children. Women's bicycles are 10% more expensive than men's and children's bicycles are a third cheaper than women's bicycles. The family paid a total of CZK 31,030 for two children's, one men' - Coins

The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41: 9. How much copper and tin are in 2kg of bronze money? - Summands

We want to split the number 110 into three summands so that the first and the second summand are in the ratio 4: 5, and the third with the first are in ratio 7: 3. Calculate the smallest of the summands. - Adam

Adam has half the money in his right pocket than in his left pocket. If he transferred 40 crowns from the left pocket to the right, he would have the same in both pockets. Calculate how many crowns does Adam has in his left pocket more than in his right? - The four

The four pirates divided 65 coins to 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? - The dealer

The dealer planned to sell 40% of the cars he had in stock in May. However, he sold 20 less cars, ie only 15% of cars. a) How many cars did he have in stock? b) How many cars did he sell in May? - Adding

Divide number 135 into two additions so that one adds 30 more than 2/5 of the other add. Write the bigger one. - Scholarship

The annual scholarship of the best student and second-best student in the class is 3500 euros in total. The best student scholarship in 8 months is the same as the second-best student scholar in the class for the whole year. How big is the annual scholars - Trio ratio

Hans, Alena, and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get? - The sum 4

The sum of Robin's age is 45. Seven years ago, Robin was 16 years more than one-half as old as Bruno then. How old is Bruno? - Three-day trip

The cyclist on three-day trip travel 30% of the total route on the first day, 3/5 of the rest on the second day and 35 km on the third day. How many kilometers did travel cyclists each day and how many?

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