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4 February, 01:19

How many liters of a solvent that costs S80 per liter must be mixed with 6 L of a solvent that costs S25 per liter to make a solvent that costs S36 per liter?

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  1. 4 February, 02:41
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    1.5 liters

    Let's make an equation to represent the cost of the resulting solvent.

    80*A + 25*B = 36 (A+B)

    Where

    A = amount of $80 per liter solvent

    B = amount of $25 per liter solvent

    So let's plug in the value 6 for B, then solve for A.

    80*A + 25*B = 36 (A+B)

    80*A + 25*6 = 36 (A+6)

    80*A + 150 = 36 (A+6)

    80*A + 150 = 36A + 216

    44*A + 150 = 216

    44*A = 66

    A = 66/44 = 1.5

    So you need 1.5 liters of the $80 per liter solvent.
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