Finding Break-Even Points with Systems of Equations

A company sells t-shirts for $20 each and has fixed costs of $200. If the cost to produce each t-shirt is $10, how many t-shirts must they sell to break even?

• 25

• 15

• 20

• 30

A bakery sells cupcakes for $3 each and has a monthly rent of $300. If the cost to make each cupcake is $1, how many cupcakes must they sell to cover their costs?

• 200

• 100

• 150

• 250

A gym charges a monthly membership fee of $50 and has a one-time registration fee of $100. If the gym's operating costs are $2000 per month, how many members are needed to break even?

• 30

• 60

• 40

• 50

A concert venue charges $30 per ticket and has fixed costs of $5000. If the variable cost per ticket sold is $10, how many tickets must be sold to break even?

• 400

• 250

• 200

• 300

A delivery service charges $15 per delivery and has fixed costs of $600 per month. If the cost to complete each delivery is $5, how many deliveries must they make to break even?

• 75

• 60

• 45

• 30

A coffee shop sells lattes for $4 each and has fixed costs of $1000. If the cost to make each latte is $1.50, how many lattes must they sell to break even?

• 500

• 300

• 350

• 400

A car wash charges $10 per wash and has fixed costs of $800. If the cost to wash each car is $3, how many cars must be washed to break even?

• 150

• 100

• 115

• 130

A subscription box service charges $25 per box and has fixed costs of $1200. If the cost to produce each box is $10, how many boxes must they sell to break even?

• 80

• 60

• 120

• 100

A local theater sells tickets for $12 each and has fixed costs of $3000. If the cost to produce each show is $5 per ticket sold, how many tickets must be sold to break even?

• 350

• 500

• 429

• 600

A sports club charges $40 for a monthly membership and has fixed costs of $1500. If the cost to provide services per member is $10, how many members are needed to break even?

• 30

• 40

• 50

• 60