Solving Real-World Systems of Equations: Grade 8 Challenge

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the school sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 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

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

Two friends are saving money for a concert. One saves $5 a week and the other saves $8 a week. If they want to save a total of $100 together, how many weeks will it take for them to reach their goal?

• 8 weeks

• 6 weeks

• 10 weeks

• 12 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?

• 50 miles

• 120 miles

• 100 miles

• 75 miles

In a fruit basket, there are apples and oranges. If there are 30 fruits in total and the number of apples is twice the number of oranges, how many apples and oranges are in the basket?

• 15 apples and 15 oranges

• 25 apples and 5 oranges

• 20 apples and 10 oranges

• 10 apples and 20 oranges

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 10 items for $80, how many novels and magazines did they buy?

• 2 novels and 8 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

• 4 novels and 6 magazines

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 pays $100, which plan did they choose and how many months did they sign up for?

• Plan A, 4 months

• Plan A, 2 months

• Plan B, 5 months

• Plan B, 3 months

A movie theater has two types of seating: regular and VIP. Regular seats cost $8 and VIP seats cost $12. If a total of 50 seats were sold for $480, how many of each type of seat were sold?

• 30 regular seats and 20 VIP seats

• 35 regular seats and 15 VIP seats

• 40 regular seats and 10 VIP seats

• 25 regular seats and 25 VIP seats

A bakery sells cupcakes and cookies. If they sold a total of 100 items and made $250, with cupcakes priced at $2 each and cookies at $1 each, how many cupcakes and cookies did they sell?

• 60 cupcakes and 40 cookies

• 40 cupcakes and 60 cookies

• 70 cupcakes and 30 cookies

• 50 cupcakes and 50 cookies

A charity event sold tickets for $15 each and received a total of $600 from ticket sales. If they sold 10 more adult tickets than child tickets, how many of each type of ticket were sold?

• 15 child tickets and 25 adult tickets

• 25 child tickets and 15 adult tickets

• 20 child tickets and 30 adult tickets

• 10 child tickets and 20 adult tickets