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27 March, 21:13

A paint mixer wants to mix paint that is 15% gloss with paint that is 30% gloss to make 5 gallons of paint that is 20% gloss.

How many gallons of each paint should paint mixer mix together?

a. The paint mixer should use 1 2/3 gallons of 15% gallons and 3 1/3 gallons of 3 gloss paint.

b. The paint mixer should use 3 gallons of 15% gloss paint and 2 gallons of 30% gloss paint.

c. The paint mixer should use 2 gallons of 15% gloss paint and 3 gallons of 30% gloss paint.

d. The paint mixer should use 3 1/3 gallons of 15% gloss paint and 1 2/3 gallons of 3 gloss paint.

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  1. 27 March, 21:43
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    Answer: d. The paint mixer should use 3 1/3 gallons of 15% gloss paint and 1 2/3 gallons of 30% gloss paint.

    Step-by-step explanation:

    To make a paint of 20% gallon, the quantity of gloss in 5 gallons of 20% gloss.

    0.2 * 5 = 1 gallon.

    To get 1 gallon from a combination of 15% gallon and 30% gallon.

    Let x rep the volume of 15% gallon.

    The volume of 30% gallon can be given as;

    5-x.

    And we can interpret to form the equation below.

    0.15x + 0.3 (5-x) = 1

    0.15x+1.5-0.3x = 1

    -0.15x = 1-1.5 = - 0.5

    x = - 0.5/-0.15

    x = 10/3 = 3 1/3

    5-x = 5-10/3 = 5/3 = 1 2/3

    Therefore, the gallons of 15% = 3 1/3

    And the gallons of 30% = 1 2/3
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