Solving Linear Equations: Break Even Scenarios Quiz

A company produces two types of gadgets, A and B. The cost to produce A is $5 per unit and for B is $8 per unit. If the company wants to break even at a total cost of $240, how many units of each gadget must they produce?

• A = 20, B = 10

• A = 15, B = 20

• A = 30, B = 12

• A = 24, B = 15

A local bakery sells cupcakes for $3 each and cookies for $2 each. If the bakery wants to make $150 in sales, how many cupcakes and cookies must they sell?

• 75 cookies and 0 cupcakes

• 30 cupcakes and 30 cookies

• 50 cupcakes and 0 cookies

• 25 cupcakes and 25 cookies

A gym charges a monthly fee of $30 and an additional $5 per class. If a member wants to spend a total of $100 in a month, how many classes can they attend?

• 10

• 14

• 16

• 12

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 want to earn a total of $50, how many cups of lemonade and cookies must they sell?

• 20 cups of lemonade and 10 cookies

• 10 cups of lemonade and 20 cookies

• 25 cups of lemonade and 5 cookies

• 15 cups of lemonade and 5 cookies

A concert venue has two ticket types: general admission for $20 and VIP for $50. If the venue wants to earn $1,000 from ticket sales, how many of each type of ticket must they sell?

• (0, 20), (25, 10), (50, 0)

• (5, 15)

• (15, 20)

• (10, 30)

A farmer sells apples for $1.50 per pound and oranges for $2.00 per pound. If the farmer wants to earn $120 from selling both fruits, how many pounds of each must he sell?

• 50 pounds of apples and 20 pounds of oranges

• 30 pounds of apples and 40 pounds of oranges

• 40 pounds of apples and 30 pounds of oranges

• 25 pounds of apples and 25 pounds of oranges

A school is organizing a fundraiser selling chocolate bars for $2 each and cookies for $1 each. If they want to raise $200, how many of each item must they sell?

• 100 chocolate bars and 0 cookies, or 0 chocolate bars and 200 cookies, or other combinations like 50 chocolate bars and 100 cookies.

• 150 chocolate bars and 25 cookies

• 200 chocolate bars and 0 cookies

• 75 chocolate bars and 50 cookies

A clothing store sells t-shirts for $15 and hoodies for $30. If the store wants to make $600 in sales, how many t-shirts and hoodies must they sell?

• (5 t-shirts, 15 hoodies)

• Multiple combinations: (0 t-shirts, 20 hoodies), (10 t-shirts, 15 hoodies), (20 t-shirts, 10 hoodies), (30 t-shirts, 5 hoodies), (40 t-shirts, 0 hoodies).

• (25 t-shirts, 0 hoodies)

• (15 t-shirts, 10 hoodies)

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend a total of $100, how many miles can they drive?

• 150 miles

• 200 miles

• 250 miles

• 300 miles

A tech company sells laptops for $800 and tablets for $400. If they want to make $4,000 in sales, how many of each must they sell?

• (2 laptops, 4 tablets)

• (0 laptops, 10 tablets), (1 laptop, 8 tablets), (2 laptops, 6 tablets), (3 laptops, 4 tablets), (4 laptops, 2 tablets), (5 laptops, 0 tablets)

• (0 laptops, 5 tablets)

• (3 laptops, 5 tablets)