7th Grade Systems of Equations: Real-Life Scenarios

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold? Set up the equations and solve the system.

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 35 adult tickets and 15 student tickets

Maria has twice as many apples as John. Together, they have 24 apples. How many apples does each person have? Set up the equations and solve the system.

• John has 8 apples and Maria has 16 apples.

• John has 10 apples and Maria has 14 apples.

• John has 12 apples and Maria has 12 apples.

• John has 6 apples and Maria has 18 apples.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $20 plus $0.25 per mile. How many miles must you drive for the costs to be the same? Set up the equations and solve the system.

• 200 miles

• 100 miles

• 250 miles

• 150 miles

In a fruit basket, there are oranges and bananas. The total number of fruits is 30, and there are 5 more oranges than bananas. How many oranges and bananas are in the basket? Set up the equations and solve the system.

• 10 oranges and 20 bananas

• 17 oranges and 12 bananas

• 15 oranges and 15 bananas

• 20 oranges and 10 bananas

A store sells pencils for $1 each and erasers for $2 each. If a student buys a total of 10 items and spends $12, how many pencils and erasers did the student buy? Set up the equations and solve the system.

• 8 pencils and 2 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $3 each week. If Alex has $20 more than Jamie after a certain number of weeks, how many weeks will it take for them to reach this difference? Set up the equations and solve the system.

• 15 weeks

• 20 weeks

• 5 weeks

• 10 weeks

A gardener is planting flowers in two types of pots. The small pots hold 3 flowers each, and the large pots hold 5 flowers each. If the gardener has 36 flowers and uses a total of 8 pots, how many of each type of pot did the gardener use? Set up the equations and solve the system.

• 1 small pot and 7 large pots

• 4 small pots and 4 large pots

• 2 small pots and 6 large pots

• 3 small pots and 5 large pots

In a classroom, there are boys and girls. The number of boys is 4 more than twice the number of girls. If there are 20 students in total, how many boys and girls are in the classroom? Set up the equations and solve the system.

• 14 boys and 6 girls

• 12 boys and 8 girls

• 8 boys and 12 girls

• 10 boys and 10 girls

A bakery sells muffins and cookies. Each muffin costs $2 and each cookie costs $1. If a customer buys a total of 15 items and spends $26, how many muffins and cookies did the customer buy? Set up the equations and solve the system.

• 11 muffins and 4 cookies

• 10 muffins and 5 cookies

• 12 muffins and 3 cookies

• 9 muffins and 6 cookies

A local gym offers two membership plans. Plan A costs $50 per month, and Plan B costs $30 per month plus a one-time fee of $120. After how many months will the total cost of both plans be the same? Set up the equations and solve the system.

• 10 months

• 6 months

• 8 months

• 4 months