Solving Real-World Problems with 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

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 each week, while Jamie saves $10 each week. If Alex has saved $60 more than Jamie after a certain number of weeks, how many weeks have they been saving?

• 8 weeks

• 12 weeks

• 15 weeks

• 10 weeks

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

• 5 chickens and 15 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

In a bookstore, the price of a novel is $12 and the price of a magazine is $5. If a customer buys a total of 10 items for $90, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 6 novels and 4 magazines

• 4 novels and 6 magazines

• 3 novels and 7 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?

• 50 miles

• 100 miles

• 75 miles

• 120 miles

A local gym offers two types of memberships: a monthly membership for $25 and a yearly membership for $250. If 100 members signed up and the total revenue was $2,500, how many monthly and yearly memberships were sold?

• 0 monthly memberships and 100 yearly memberships

• 75 monthly memberships and 25 yearly memberships

• 100 monthly memberships and 0 yearly memberships

• 50 monthly memberships and 50 yearly memberships

A bakery sells cupcakes for $3 each and cookies for $2 each. If they sold a total of 100 items for $240, how many cupcakes and cookies did they sell?

• 50 cupcakes and 50 cookies

• 40 cupcakes and 60 cookies

• 30 cupcakes and 70 cookies

• 20 cupcakes and 80 cookies

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer bought a total of 30 fruits for $50, how many apples and bananas did they buy?

• 10 apples and 20 bananas

• 25 apples and 5 bananas

• 15 apples and 15 bananas

• 20 apples and 10 bananas

A movie theater has two types of seats: regular seats for $8 and VIP seats for $12. If they sold a total of 200 seats for $1,800, how many regular and VIP seats were sold?

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

• 180 regular seats and 20 VIP seats

• 120 regular seats and 80 VIP seats

A charity event sold tickets for $15 each and VIP tickets for $25 each. If they sold a total of 150 tickets for $3,000, how many regular and VIP tickets were sold?

• 60 regular tickets and 90 VIP tickets

• 80 regular tickets and 70 VIP tickets

• 100 regular tickets and 50 VIP tickets

• 75 regular tickets and 75 VIP tickets