Solving Real-World Systems of Equations for Profit

A company sells two types of shirts: plain and graphic. The plain shirts cost $10 each to produce, and the graphic shirts cost $15 each. If the company wants to break even after selling 100 shirts for a total of $1,200, how many of each type must they sell?

• 50 plain shirts and 50 graphic shirts

• 70 plain shirts and 30 graphic shirts

• 80 plain shirts and 20 graphic shirts

• 60 plain shirts and 40 graphic shirts

A bakery sells cupcakes for $3 each and cookies for $2 each. If they want to make $150 in total sales and sell 60 items, how many cupcakes and cookies do they need to sell?

• 40 cupcakes and 20 cookies

• 20 cupcakes and 40 cookies

• 50 cupcakes and 10 cookies

• 30 cupcakes and 30 cookies

A movie theater charges $8 for adult tickets and $5 for child tickets. If they sold a total of 200 tickets and made $1,400, how many adult and child tickets were sold?

• 100 adult tickets and 100 child tickets were sold.

• 90 adult tickets and 110 child tickets were sold.

• 120 adult tickets and 80 child tickets were sold.

• 150 adult tickets and 50 child tickets were sold.

A gym offers two membership plans: a monthly plan for $30 and an annual plan for $300. If they want to earn $1,200 in a month from memberships, how many of each type of membership do they need to sell?

• (8 monthly, 3 annual)

• (5 monthly, 2 annual)

• (15 monthly, 2 annual)

• (0 monthly, 4 annual) or (10 monthly, 1 annual) or (20 monthly, 0 annual)

A farmer sells apples for $2 per pound and oranges for $3 per pound. If he sells a total of 100 pounds of fruit for $240, how many pounds of apples and oranges did he sell?

• 70 pounds of apples and 30 pounds of oranges

• 60 pounds of apples and 40 pounds of oranges

• 80 pounds of apples and 20 pounds of oranges

• 50 pounds of apples and 50 pounds of oranges

A concert venue has two types of tickets: VIP tickets for $100 and regular tickets for $50. If they sold a total of 500 tickets and made $30,000, how many VIP and regular tickets were sold?

• 100 VIP tickets and 400 regular tickets

• 150 VIP tickets and 350 regular tickets

• 50 VIP tickets and 450 regular tickets

• 200 VIP tickets and 300 regular tickets

A school is selling two types of fundraising items: chocolate bars for $2 each and cookie dough for $5 each. If they sold a total of 200 items and raised $800, how many of each item did they sell?

• 50 chocolate bars and 150 cookie dough

• 100 chocolate bars and 100 cookie dough

• 150 chocolate bars and 50 cookie dough

• 200 chocolate bars and 0 cookie dough

A clothing store sells jeans for $40 and shirts for $20. If they sold a total of 150 items for $4,000, how many jeans and shirts did they sell?

• 70 jeans and 80 shirts

• 40 jeans and 110 shirts

• 50 jeans and 100 shirts

• 60 jeans and 90 shirts

A local restaurant sells burgers for $10 and salads for $7. If they sold a total of 80 meals for $600, how many burgers and salads were sold?

• 20 burgers and 60 salads

• 30 burgers and 50 salads

• 40 burgers and 40 salads

• 50 burgers and 30 salads

A pet store sells fish for $5 each and turtles for $20 each. If they sold a total of 50 animals for $500, how many fish and turtles did they sell?

• 15 fish and 35 turtles

• 5 fish and 45 turtles

• 20 fish and 30 turtles

• 10 fish and 40 turtles