Real-Life Systems of Equations: Solve and Graph

A school is planning a field trip. The cost per student is $30 for transportation and $20 for admission. If 50 students are going, how much will the total cost be? Write a system of equations to represent the situation and solve for the total cost.

• $1500

• $3000

• $2000

• 2500

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, write a system of equations to represent the situation and find out how many chickens and cows there are.

• 12 chickens and 18 cows

• 5 chickens and 25 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

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 made a total of $50 and sold 30 items, write a system of equations to find out how many cups of lemonade and cookies they sold.

• Alex sold 15 cups of lemonade and Jamie sold 15 cookies.

• Alex sold 20 cups of lemonade and Jamie sold 10 cookies.

• Alex sold 10 cups of lemonade and Jamie sold 20 cookies.

• Alex sold 25 cups of lemonade and Jamie sold 5 cookies.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70 for their rental, write a system of equations to find out how many miles they drove.

• 100 miles

• 120 miles

• 50 miles

• 80 miles

A concert hall has two types of tickets: regular tickets for $25 and VIP tickets for $50. If 200 tickets were sold for a total of $7,500, write a system of equations to determine how many of each type of ticket were sold.

• 50 regular tickets and 150 VIP tickets were sold.

• 200 regular tickets and 0 VIP tickets were sold.

• 100 regular tickets and 100 VIP tickets were sold.

• 150 regular tickets and 50 VIP tickets were sold.

A store sells pencils for $0.50 each and erasers for $1. If a student bought a total of 20 items and spent $12, write a system of equations to find out how many pencils and erasers were purchased.

• x + 2y = 20 and 0.5x + y = 10

• x + y = 15 and 0.5x + 2y = 12

• The system of equations is: x + y = 20 and 0.5x + y = 12.

• 2x + y = 20 and 0.5x + 2y = 12

In a class, the ratio of boys to girls is 3:2. If there are 30 students in total, write a system of equations to find out how many boys and girls are in the class.

• There are 18 boys and 12 girls in the class.

• 12 boys and 18 girls

• 20 boys and 10 girls

• 15 boys and 15 girls

A bakery sells muffins for $3 each and cupcakes for $2 each. If they sold a total of 100 items and made $240, write a system of equations to find out how many muffins and cupcakes were sold.

• 40 muffins and 60 cupcakes

• 30 muffins and 70 cupcakes

• 20 muffins and 80 cupcakes

• 50 muffins and 50 cupcakes

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $50. If a customer paid $110, write a system of equations to determine how many months they used each plan.

• The system of equations is: 30x + 20y = 60 and x + y = total months used.

• 30x + 20y = 80 and x + y = total months used.

• 30x + 20y = 50 and x + y = total months used.

• 30x + 20y = 110 and x + y = total months used.

A bookstore sells novels for $10 each and magazines for $5 each. If a customer bought a total of 15 items and spent $100, write a system of equations to find out how many novels and magazines were purchased.

• 10 novels and 5 magazines

• 7 novels and 8 magazines

• 3 novels and 12 magazines

• 5 novels and 10 magazines