Graphing and Solving Real-World 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 50 tickets for $400, how many adult and student tickets were sold?

• 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

A farmer has chickens and cows. If there are 20 animals in total and they have 56 legs, how many chickens and cows does the farmer have?

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

Two friends are saving money for a concert. One saves $5 a week and the other saves $10 a week. If they want to save a total of $100 together, how many weeks will it take for them to reach their goal?

• 7 weeks

• 5 weeks

• 10 weeks

• 15 weeks

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

• 100 miles

• 50 miles

• 75 miles

• 120 miles

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student bought a total of 10 items for $6, how many pencils and erasers did they buy?

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 8 pencils and 2 erasers

A local gym has two types of memberships: a monthly membership for $25 and a yearly membership for $250. If 40 people signed up and the total revenue was $800, how many monthly and yearly memberships were sold?

• 40 monthly memberships and 0 yearly memberships

• 30 monthly memberships and 10 yearly memberships

• 20 monthly memberships and 20 yearly memberships

• 10 monthly memberships and 30 yearly memberships

A bakery sells cupcakes for $2 each and cookies for $1 each. If they sold a total of 100 items for $150, how many cupcakes and cookies did they sell?

• 30 cupcakes and 70 cookies

• 60 cupcakes and 40 cookies

• 50 cupcakes and 50 cookies

• 40 cupcakes and 60 cookies

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are in the class?

• 10 boys and 15 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

A delivery service charges a base fee of $15 plus $1.50 per mile. If a customer paid $30, how many miles did the delivery travel?

• 20 miles

• 10 miles

• 5 miles

• 15 miles

A bookstore sells novels for $12 each and magazines for $5 each. If a customer bought a total of 8 items for $66, how many novels and magazines did they purchase?

• 3 novels and 5 magazines

• 2 novels and 6 magazines

• 4 novels and 4 magazines

• 1 novel and 7 magazines