Solving Real-World Systems of Equations for Grade 8

A farmer has 120 apples and 80 oranges. He wants to pack them into boxes with each box containing 4 apples and 5 oranges. How many boxes can he fill? Write a system of equations to represent this situation and solve it.

• 10

• 12

• 16

• 20

A school is planning a field trip. The cost for a bus is $200 and the cost for each student is $10. If the total budget is $500, how many students can go on the trip? Set up a system of equations and solve for the number of students.

• 40

• 35

• 25

• 30

Two friends, Alex and Jamie, are selling lemonade and cookies. Alex sells lemonade for $2 per cup and Jamie sells cookies for $1 each. If they make a total of $50, how many cups of lemonade and cookies did they sell? Create a system of equations and solve it.

• 25 cups of lemonade and 5 cookies

• 15 cups of lemonade and 20 cookies

• 20 cups of lemonade and 10 cookies

• 10 cups of lemonade and 30 cookies

A concert hall has 300 seats. Tickets for adults are $15 and tickets for children are $10. If the total revenue from ticket sales is $4000, how many adult and child tickets were sold? Formulate a system of equations and find the solution.

• 150 adult tickets and 150 child tickets

• 250 adult tickets and 50 child tickets

• 200 adult tickets and 100 child tickets

• 100 adult tickets and 200 child tickets

A company produces two types of gadgets. The first type costs $30 to produce and the second type costs $50. If the company has a budget of $6000 and wants to produce a total of 150 gadgets, how many of each type can they produce? Write and solve a system of equations.

• 60 type 1 gadgets and 90 type 2 gadgets

• 100 type 1 gadgets and 50 type 2 gadgets

• 75 type 1 gadgets and 75 type 2 gadgets

• 150 type 1 gadgets and 0 type 2 gadgets

A bookstore sells novels for $12 each and textbooks for $20 each. If they sold a total of 100 books for $1600, how many novels and textbooks did they sell? Set up a system of equations and solve it.

• 40 novels and 60 textbooks

• 60 novels and 40 textbooks

• 30 novels and 70 textbooks

• 50 novels and 50 textbooks

A local gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If they have a total of 200 members and made $4500 in membership fees, how many of each type of membership do they have? Create a system of equations and solve it.

• 150 monthly memberships and 50 yearly memberships

• 190 monthly memberships and 10 yearly memberships

• 185 monthly memberships and 15 yearly memberships

• 200 monthly memberships and 0 yearly memberships

A pizza shop sells two sizes of pizzas: small for $8 and large for $12. If they sold a total of 50 pizzas and made $480, how many of each size did they sell? Write a system of equations and find the solution.

• 15 small pizzas and 35 large pizzas

• 40 small pizzas and 10 large pizzas

• 30 small pizzas and 20 large pizzas

• 25 small pizzas and 25 large pizzas

A charity event sold tickets for $25 each and VIP tickets for $50 each. If they sold a total of 200 tickets and raised $4000, how many regular and VIP tickets were sold? Set up a system of equations and solve it.

• 80 regular tickets and 120 VIP tickets were sold.

• 100 regular tickets and 100 VIP tickets were sold.

• 120 regular tickets and 80 VIP tickets were sold.

• 50 regular tickets and 150 VIP tickets were sold.

A car rental company has two types of cars: economy cars for $30 per day and luxury cars for $60 per day. If they rented out a total of 40 cars and made $1800, how many of each type did they rent? Create a system of equations and solve it.

• 30 economy cars and 10 luxury cars

• 10 economy cars and 30 luxury cars

• 20 economy cars and 20 luxury cars

• 25 economy cars and 15 luxury cars