Solving Real-World Problems: Systems of Equations

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many of each type of ticket did they sell?

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

• 80 adult tickets and 70 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $60 and Maria has $80.

• John has $40 and Maria has $60.

• John has $50 and Maria has $70.

• John has $30 and Maria has $90.

A farmer has chickens and cows. The total number of animals is 50, and there are 140 legs in total. How many chickens and cows does the farmer have?

• 15 chickens and 35 cows

• 40 chickens and 10 cows

• 30 chickens and 20 cows

• 25 chickens and 25 cows

In a bookstore, the price of a novel is $15 and the price of a magazine is $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy?

• 3 novels and 7 magazines

• 5 novels and 5 magazines

• 4 novels and 6 magazines

• 6 novels and 4 magazines

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 120 miles

• 50 miles

• 75 miles

• 100 miles

Two friends, Alex and Jamie, are collecting coins. Alex has twice as many coins as Jamie. Together, they have 36 coins. How many coins does each friend have?

• Alex has 24 coins and Jamie has 12 coins.

• Alex has 20 coins and Jamie has 16 coins.

• Alex has 18 coins and Jamie has 18 coins.

• Alex has 30 coins and Jamie has 6 coins.

A restaurant sells burgers for $8 and salads for $6. If they sold a total of 40 meals for $288, how many burgers and salads were sold?

• 30 burgers and 10 salads

• 10 burgers and 30 salads

• 20 burgers and 20 salads

• 24 burgers and 16 salads

In a class, the number of boys is twice the number of girls. If there are 36 students in total, how many boys and girls are in the class?

• 12 boys and 24 girls

• 24 boys and 12 girls

• 30 boys and 6 girls

• 18 boys and 18 girls

A store sells pencils for $2 each and erasers for $3 each. If a customer buys a total of 15 items for $36, how many pencils and erasers did they buy?

• 9 pencils and 6 erasers

• 10 pencils and 5 erasers

• 8 pencils and 7 erasers

• 7 pencils and 8 erasers

A gardener is planting flowers and shrubs. The total number of plants is 30, and the number of flowers is 5 more than twice the number of shrubs. How many flowers and shrubs are being planted?

• Flowers: 20, Shrubs: 15

• Flowers: 10, Shrubs: 20

• Flowers: 30, Shrubs: 0

• Flowers: 25, Shrubs: 10