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17 May, 03:28

One canned juice drink is 20% orange juice; another is 10% orange juice. how many liters of each should be mixed together in order to get 10L that is 13% orange juice

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  1. 17 May, 04:51
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    Let A, B represent the amount of 20% drink and 10% drink.

    A+B = 10

    0.2A + 0.1B = 0.13*10

    Use substitution

    From 1st equation

    A = 10 - B

    Substituting into 2nd equation

    0.2 (10-B) + 0.1B = 1.3

    Distribute

    2 - 0.2B + 0.1B = 1.3

    Combine like terms

    -0.1B = - 0.7

    Divide by -.1 on both sides

    B = 7

    Substituting back into 1st equation

    A = 10 - 7 = 3

    Therefore 3L of 20% drink should be mixed with 7L of 10% drink.
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