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25 May, 13:22

A painter needs to have 24 gallons of paint that contains 30% solvent how many gallons of paint contain 20% solvent and how many gallons containing 60% solvent?

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  1. 25 May, 17:15
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    18 gallons containing 20% solvent and 6 gallons containing 60% solvent

    Step-by-step explanation:

    the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent

    let a = 20% solvent paint

    let b = 60% solvent paint

    a + b = 24

    0.2a + 0.6b = 7.2

    (replace a = 24 - b in the second equation)

    a + b = 24

    0.2 (24 - b) + 0.6b = 7.2

    4.8 - 0.2b + 0.6b = 7.2

    0.4b = 7.2 - 4.8 = 2.4

    b = 2.4 / 0.4 = 6

    a = 24 - 6 = 18
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