Real-Life Equations: Check Your Solutions and Interpret Results

A store sells pencils for $2 each and erasers for $3 each. If you buy the same number of pencils and erasers and spend $24, how many of each did you buy? Check your solution by calculating the total cost.

• 4 pencils and 4 erasers

• 5 pencils and 3 erasers

• 3 pencils and 5 erasers

• 6 pencils and 6 erasers

Maria has twice as many marbles as John. If John has x marbles and together they have 36 marbles, how many marbles does each have? Verify your answer by adding the number of marbles together.

• John has 12 marbles and Maria has 24 marbles.

• John has 10 marbles and Maria has 26 marbles.

• John has 18 marbles and Maria has 18 marbles.

• John has 15 marbles and Maria has 21 marbles.

A movie theater charges $10 for adult tickets and $6 for child tickets. If a family buys 4 adult tickets and 2 child tickets, how much do they spend in total? Set up an equation to find the total cost and check your work.

• 52

• $48

• $60

• $40

In a class, the number of boys is 5 more than twice the number of girls. If there are g girls in the class and a total of 35 students, how many boys and girls are there? Confirm your solution by adding the number of boys and girls together.

• 5 girls and 30 boys

• 10 girls and 25 boys

• 12 girls and 23 boys

• 15 girls and 20 boys

A gardener has 3 times as many flowers as shrubs. If the total number of flowers and shrubs is 48, how many flowers and shrubs does the gardener have? Check your solution by calculating the total number of plants.

• 24 flowers and 24 shrubs

• 36 flowers and 12 shrubs

• 30 flowers and 18 shrubs

• 40 flowers and 8 shrubs

Liam and Emma are saving money for a video game. Liam has $15 more than Emma. If Emma has e dollars and together they have $105, how much does each have? Verify your answer by adding their amounts together.

• Emma has $50 and Liam has $55.

• Emma has $45 and Liam has $60.

• Emma has $40 and Liam has $70.

• Emma has $30 and Liam has $75.

A baker makes cookies and brownies. If the number of cookies is 4 less than twice the number of brownies and there are 20 baked goods in total, how many cookies and brownies did the baker make? Check your solution by adding the quantities together.

• 14 cookies and 6 brownies

• 12 cookies and 8 brownies

• 10 cookies and 10 brownies

• 8 cookies and 12 brownies

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $70, how many miles did they drive? Set up an equation to find the miles driven and check your work.

• 150 miles

• 200 miles

• 50 miles

• 100 miles

Two friends, Alex and Jamie, are collecting stamps. Alex has 10 more stamps than Jamie. If Jamie has s stamps and together they have 70 stamps, how many stamps does each have? Confirm your solution by adding their collections together.

• Jamie has 40 stamps and Alex has 30 stamps.

• Jamie has 30 stamps and Alex has 40 stamps.

• Jamie has 20 stamps and Alex has 50 stamps.

• Jamie has 35 stamps and Alex has 25 stamps.

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys 3 more novels than magazines and spends $66, how many novels and magazines did they buy? Check your solution by calculating the total cost.

• 5 novels and 4 magazines

• 7 novels and 2 magazines

• 6 novels and 3 magazines

• 4 novels and 5 magazines