Break Even Analysis: Word Problems & Algebraic Reasoning

A company sells t-shirts for $20 each and has a fixed cost of $2000. Write a system of equations to find the break-even point where revenue equals cost. What is the number of t-shirts that need to be sold to break even?

• 150

• 50

• 200

• 100

A local bakery sells cupcakes for $3 each and has a monthly cost of $600. Write a system of equations to determine how many cupcakes must be sold to break even. What is the break-even quantity?

• 200

• 250

• 300

• 150

A gym charges a monthly fee of $50 and has a fixed cost of $3000. Create a system of equations to find out how many members are needed to cover the costs. What is the break-even number of members?

• 50

• 75

• 100

• 60

A movie theater charges $10 per ticket and has a fixed cost of $5000. Formulate a system of equations to find the break-even point. How many tickets must be sold to break even?

• 700

• 1000

• 300

• 500

A subscription service charges $15 per month and has a startup cost of $1200. Write a system of equations to determine how many subscribers are needed to break even. What is the break-even number of subscribers?

• 80

• 60

• 100

• 120

A lemonade stand sells lemonade for $2 per cup and has a fixed cost of $100. Create a system of equations to find the break-even point. How many cups of lemonade must be sold to break even?

• 100

• 75

• 50

• 25

A car wash charges $10 per wash and has a fixed cost of $800. Write a system of equations to find out how many washes are needed to break even. What is the break-even number of washes?

• 100 washes

• 70 washes

• 90 washes

• 80 washes

A concert venue sells tickets for $50 each and has a fixed cost of $10,000. Formulate a system of equations to find the break-even point. How many tickets must be sold to break even?

• 150

• 300

• 250

• 200

A clothing store sells jeans for $40 each and has a fixed cost of $4000. Write a system of equations to determine how many pairs of jeans must be sold to break even. What is the break-even quantity?

• 100

• 50

• 150

• 200

A food truck sells meals for $8 each and has a fixed cost of $2000. Create a system of equations to find the break-even point. How many meals must be sold to break even?

• 250

• 200

• 300

• 400