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

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

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a new bike. 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

• 5 weeks

• 8 weeks

• 7 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?

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 10 chickens and 10 cows

In a bookstore, a novel costs $12 and a magazine costs $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

• 5 novels and 5 magazines

• 6 novels and 4 magazines

• 4 novels and 6 magazines

Two friends, Alex and Jamie, are collecting stamps. Alex has 3 times as many stamps as Jamie. If together they have 80 stamps, how many stamps does each friend have?

• Alex has 70 stamps and Jamie has 10 stamps.

• Alex has 60 stamps and Jamie has 20 stamps.

• Alex has 50 stamps and Jamie has 30 stamps.

• Alex has 40 stamps and Jamie has 40 stamps.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70 for their rental, how many miles did they drive?

• 200 miles

• 150 miles

• 100 miles

• 50 miles

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $30 and VIP seats cost $50. If 200 seats were sold for a total of $8,000, how many of each type of seat were sold?

• 200 regular seats and 0 VIP seats

• 150 regular seats and 50 VIP seats

• 50 regular seats and 150 VIP seats

• 100 regular seats and 100 VIP seats

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?

• 15 apples and 15 bananas

• 20 apples and 10 bananas

• 10 apples and 20 bananas

• 25 apples and 5 bananas

A local gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $50. If a customer wants to spend a total of $200, how many months can they afford each plan?

• Plan A: 6 months, Plan B: 8 months

• Plan A: 8 months, Plan B: 10 months

• Plan A: 5 months, Plan B: 12 months

• Plan A: 10 months, Plan B: 9 months

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 40 items and spends $100, how many cupcakes and cookies did they buy?

• 30 cupcakes and 10 cookies

• 10 cupcakes and 30 cookies

• 25 cupcakes and 15 cookies

• 20 cupcakes and 20 cookies