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Math Help - Algebra 1 Mixture Word Problem

  1. #1
    Newbie momokitty2's Avatar
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    Question Algebra 1 Mixture Word Problem

    Emily mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 30% fruit juice.

    I know how to solve the equation, it's just setting it up that confuses me.

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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by momokitty2 View Post
    Emily mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 30% fruit juice.

    I know how to solve the equation, it's just setting it up that confuses me.

    strange, in another problem you had exactly the opposite problem. you could set up the equation but couldn't solve

    anyway. write the percentages as decimals. (remember, "percentage" means divided by 100, so 25% = 25/100 = 0.25, for example).

    Let x be the amount of juice in brand A (we can convert to percentage when finished)

    we have 8 gal of brand B where 48% = 0.48 of it is juice. thus, the amount of juice in B that is juice is (0.48)8 = 3.84

    similarly, we want, 0.3(17) = 5.1 gal of the mixture to be juice.

    again, similarly, the amount of juice in A is given by 9x

    thus we have: 9x + 3.84 = 5.1

    now solve for x and you can get the rest i think
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