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Math Help - help in solving a word problem

  1. #1
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    help in solving a word problem

    Could you please give me step by step instructions on how to solve this word problem?

    Jinny is canning pickles and needs 5 cups of 5% vinegar. She has a container full of 4% vinegar and a container full of 8%. How much of each kind should she mix to obtain her 5 cups of 5% acidity? Round your answer to the nearest hundredth.

    Thank you
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by thisoneroller View Post
    Could you please give me step by step instructions on how to solve this word problem?

    Jinny is canning pickles and needs 5 cups of 5% vinegar. She has a container full of 4% vinegar and a container full of 8%. How much of each kind should she mix to obtain her 5 cups of 5% acidity? Round your answer to the nearest hundredth.

    Thank you
    Let x be the number cups of 4% vinegar, and let y be the number of cups of 8% vinegar. You can see then that x+y=5

    If we solve for y we can eliminate one of the variables

    y=5-x

    So we know

    .04x+.08(5-x)=5 cups of a 5% solution Or

    .04x+.08(5-x)=.05(5)

    Can you take it from here?
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  3. #3
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    yes i can take it from here. Thank you very much
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  4. #4
    No one in Particular VonNemo19's Avatar
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    This is what i do.

    DEUCE!
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