Real-World Systems of Equations Practice

Question

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Question
Akeem wants to have a lemonade stand at the community fair. It costs him $2 to make each cup of lemonade plus a $40 renter's fee for the stand. He sells the lemonade for $6 per cup. How many cups does Akeem have to sell to break even?(1 point)
cups

Answer 1

To find the number of cups Akeem has to sell to break even, we can set up a system of equations.

Let x be the number of cups Akeem sells.

The cost equation is: 2x + 40

The revenue equation is: 6x

To break even, the cost must be equal to the revenue. Therefore:
2x + 40 = 6x

Now, solve for x:
40 = 4x
x = 10

Akeem has to sell 10 cups to break even.