Solving Real-World Systems of Equations for 8th Grade

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

• 35 adult tickets and 15 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a new bike. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $50 and Maria has $70.

• John has $30 and Maria has $90.

• John has $60 and Maria has $80.

• John has $40 and Maria has $60.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 25 chickens and 5 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

In a bookstore, the total number of books is 200. If the number of fiction books is twice the number of non-fiction books, how many fiction and non-fiction books are there?

• Fiction books: 100, Non-fiction books: 100

• Fiction books: 134, Non-fiction books: 66

• Fiction books: 150, Non-fiction books: 50

• Fiction books: 80, Non-fiction books: 120

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?

• 150 miles

• 50 miles

• 100 miles

• 200 miles

Two friends, Alex and Jamie, are collecting stamps. Alex has 5 more stamps than Jamie. Together, they have 45 stamps. How many stamps does each friend have?

• Alex has 25 stamps and Jamie has 20 stamps.

• Alex has 10 stamps and Jamie has 35 stamps.

• Alex has 30 stamps and Jamie has 15 stamps.

• Alex has 20 stamps and Jamie has 25 stamps.

A concert hall has two types of seating: regular and VIP. Regular seats cost $30 each, and VIP seats cost $50 each. If 100 seats were sold for a total of $4000, how many of each type were sold?

• 60 regular seats and 40 VIP seats

• 70 regular seats and 30 VIP seats

• 80 regular seats and 20 VIP seats

• 50 regular seats and 50 VIP seats

In a fruit market, apples cost $2 each and oranges cost $3 each. If a customer bought a total of 10 fruits for $24, how many apples and oranges did they buy?

• 7 apples and 3 oranges

• 6 apples and 4 oranges

• 4 apples and 6 oranges

• 5 apples and 5 oranges

A bakery sells muffins and cookies. Muffins cost $2 each, and cookies cost $1 each. If a customer bought a total of 15 items for $26, how many muffins and cookies did they buy?

• 9 muffins and 6 cookies

• 12 muffins and 3 cookies

• 11 muffins and 4 cookies

• 10 muffins and 5 cookies