Solving Real-World Problems: Systems of Equations for 8th Graders

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?

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If together they want to save $150, how many weeks will it take for them to reach their goal?

• 6 weeks

• 7 weeks

• 5 weeks

• 8 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?

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 12 chickens and 8 cows

• 5 chickens and 15 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?

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 5 novels and 5 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 stickers. Alex has twice as many stickers as Jamie. If together they have 36 stickers, how many stickers does each friend have?

• Alex has 20 stickers, Jamie has 16 stickers.

• Alex has 30 stickers, Jamie has 6 stickers.

• Alex has 24 stickers, Jamie has 12 stickers.

• Alex has 18 stickers, Jamie has 18 stickers.

A gym offers two types of memberships: a monthly membership for $25 and a yearly membership for $250. If a customer spends $300 on memberships, how many of each type did they purchase?

• 0 monthly memberships and 1 yearly membership

• 10 monthly memberships and 0 yearly memberships

• 6 monthly memberships and 0 yearly memberships

• 5 monthly memberships and 1 yearly membership

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 15 items and spends $36, how many cupcakes and cookies did they buy?

• 7 cupcakes and 8 cookies

• 5 cupcakes and 10 cookies

• 6 cupcakes and 9 cookies

• 4 cupcakes and 11 cookies

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys 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

• 20 apples and 10 bananas

• 15 apples and 15 bananas

A school is organizing a field trip. The cost per student is $20, and they need to collect a total of $600. How many students need to participate to meet the cost?

• 30

• 35

• 25

• 40