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Math Help - Problem with decision making

  1. #1
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    Problem with decision making

    We have a problem.

    Question is Aaron and 5 of his classmates are organizing a car wash to raise money.
    They must purchase soap and sponges. The group expets to wash 100 cars. They plan to use 30 sponges.

    Sponges
    A - pack of 5 @ $6 total
    B - pack of 10 @8 total
    C - pack of 15 @ $10 total

    Aaaon expects that if they purchase the least expensive sponges, they will need twice the number of sponges. Write a new estimate for the cost of the least expensive sponges.

    Would that be $12? -- or another answer. Tx for looking.
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  2. #2
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    If I'm interpreting your question correctly...

    If they're going to use 30 sponges, I think the costs would be as follows:

    A - pack of 5 @ $6 total, implies 30 sponges at $36 (6 packs needed)
    B - pack of 10 @8 total, implies 30 sponges at $24 (3 pakcs needed)
    C - pack of 15 @ $10 total, implies 30 sponges at $20 (2 packs needed)

    So initially, it would seem that C is the best deal. But if using C sponges would require 60 sponges instead of 30, then the cost of using C-type sponges would double to $40 (since you'd need 4 packs instead of 2), making B the best deal at $24 in total.

    Does that sound right?

    - Steve J
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