Question

The owner of a lemonade stand mixes juice that costs 2 dollars per gallon with juice that costs 7 dollars per gallon. She gets 20 gallons of punch that costs 4 dollars per gallon. How much of each juice does she use?

Answers

  1. Answer:
    8 gallons at $7
    12 gallons at $2
    Step-by-step explanation:
    x gallons at $7 with the remaining (20 – x) gallons at $2 to get 20 gallons at $4
    x(7) + (20 – x)(2) = 20(4)
    Distribute
    7x + 40 – 2x = 80
    Combine like terms
    5x + 40 = 80
    Subtract 40 from both sides
    5x = 40
    Divide both sides by 5
    x = 8 gallons at $7
    20 – x = 12 gallons at $2

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