Solving Real-World Systems of Equations: Grade 8 Practice

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

Maria and John are saving money for a video game. Maria has $20 and saves $5 each week, while John has $10 and saves $10 each week. How many weeks will it take for them to have the same amount of money?

• 1 week

• 3 weeks

• 2 weeks

• 4 weeks

A farmer has chickens and cows. If there are 30 animals in total and there are 80 legs, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 25 chickens and 5 cows

• 15 chickens and 15 cows

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

• 5 novels and 5 magazines

• 6 novels and 4 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

Two friends, Alex and Sam, are collecting baseball cards. Alex has 30 cards and collects 3 new cards each week, while Sam has 10 cards and collects 5 new cards each week. How many weeks will it take for them to have the same number of cards?

• 10 weeks

• 5 weeks

• 15 weeks

• 20 weeks

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

• 50 miles

• 150 miles

• 100 miles

• 200 miles

A concert hall has two types of seating: regular seats for $25 and VIP seats for $50. If 200 seats were sold for a total of $4000, how many regular and VIP seats were sold?

• 90 regular seats and 110 VIP seats

• 50 regular seats and 150 VIP seats

• 100 regular seats and 100 VIP seats

• 80 regular seats and 120 VIP seats

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 15 fruits for $24, how many apples and bananas did they buy?

• 10 apples and 5 bananas

• 8 apples and 7 bananas

• 7 apples and 8 bananas

• 9 apples and 6 bananas

A gym has two types of memberships: monthly for $30 and yearly for $300. If 100 memberships were sold for a total of $6000, how many monthly and yearly memberships were sold?

• 90 monthly memberships and 10 yearly memberships

• 80 monthly memberships and 20 yearly memberships

• 50 monthly memberships and 50 yearly memberships

• 70 monthly memberships and 30 yearly memberships

A local 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 were sold?

• 30 cupcakes and 70 cookies

• 40 cupcakes and 60 cookies

• 50 cupcakes and 50 cookies

• 20 cupcakes and 80 cookies