Real-Life Equation Challenges: Check Your Solutions!

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items for $6.00, how many pencils and erasers did they buy? Check your solution by substituting back into the equations.

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

Maria has twice as many marbles as John. If the total number of marbles they have together is 36, how many marbles does each person have? Verify your answer by adding the two amounts together.

• John has 10 marbles and Maria has 26 marbles.

• John has 15 marbles and Maria has 21 marbles.

• John has 12 marbles and Maria has 24 marbles.

• John has 18 marbles and Maria has 18 marbles.

A gardener is planting flowers in rows. If each row has 5 flowers and there are a total of 30 flowers, how many rows are there? Check your solution by multiplying the number of rows by the number of flowers per row.

• 6

• 8

• 5

• 7

Tom has $50. He spends $x on a video game and $10 on snacks. If he has $20 left, how much did he spend on the video game? Verify your solution by checking the total amount spent.

• 30

• 25

• 20

• 15

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make a batch that uses 12 cups of flour, how much sugar will you need? Check your solution by maintaining the ratio of flour to sugar.

• 10 cups of sugar

• 6 cups of sugar

• 8 cups of sugar

• 4 cups of sugar

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $35, how many miles did they drive? Verify your answer by calculating the total cost based on the miles driven.

• 50 miles

• 75 miles

• 120 miles

• 100 miles

In a class, the ratio of boys to girls is 3:2. If there are 30 students in total, how many boys and girls are there? Check your solution by adding the number of boys and girls together.

• 15 boys and 15 girls

• 20 boys and 10 girls

• 12 boys and 18 girls

• There are 18 boys and 12 girls.

A book costs $15 and a magazine costs $5. If a student buys a total of 5 items for $40, how many books and magazines did they buy? Verify your solution by substituting back into the equations.

• 2 books and 3 magazines

• 3 books and 2 magazines

• 0 books and 5 magazines

• 1 book and 4 magazines

A swimming pool can be filled by two hoses. Hose A can fill the pool in 4 hours, and Hose B can fill it in 6 hours. How long will it take to fill the pool using both hoses together? Check your solution by calculating the combined rate of both hoses.

• 5 hours

• 3 hours

• 2.4 hours

• 1.5 hours

A farmer has chickens and cows. If there are 20 animals in total and the number of chickens is 4 more than the number of cows, how many chickens and cows does the farmer have? Verify your solution by adding the number of chickens and cows together.

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 5 chickens and 15 cows