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Please help me with my Algebra homework!!!?

One canned juice drink is 15% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 10L that is 7% orange juice.

How many liters of the 15% orange juice should be in the mixture?

How many liters of the 5% orange juice should be in the mixture?

1 Answer

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  • Dr J
    Lv 5
    1 decade ago
    Favorite Answer

    a=liters of the 15%

    b=liters of the 5% juice

    the amount of juice being mixed must equal the juice in the final mixture

    0.15a+0.05b = 0.07*(10)

    and the total liters in the final mixture is 10

    a + b = 10

    the first eqn can be written as

    15a + 5b = 70

    we know that a=10-b, substitute in the above eqn.

    15(10-b)+5b=70

    150-15b+5b=70

    10b=80

    b=8 liters

    a=2 liters

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