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Matt brought $40.50 to the art supply store. He bought a brush, a sketchbook, and paint set. The brush was 1/6

as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Matt had $3.00 left over after buying these items.

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  1. 25 June, 17:53
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    cost of paint set = $20

    cost of the sketch box = 3/4 * 20 = $15

    cost of the brush = 3/24 * 20 = 60/24 = $2.5

    Step-by-step explanation:

    The total amount Matt brought to the art supply store is $40.50. He bought a brush, a sketchbook and a paint set. This means he bought 3 items. The question wants us to find the price of each item.

    Let

    price of paint set = b

    price of the sketchbook = 3/4b

    price of the brush = 1/6 * 3/4 b = 3/24 b

    adding the sum

    b + 3/4 b + 3/24 b + 3 = 40.50

    b + 3/4 b + 1/8 b + 3 = 40.50

    collect like terms

    8b + 6b + b/8 = 40.50 - 3

    15b/8 = 37.5

    cross multiply

    15b = 300

    divide both sides by 15

    b = 300/15

    b = $20

    cost of paint set = $20

    cost of the sketch box = 3/4 * 20 = $15

    cost of the brush = 3/24 * 20 = 60/24 = $2.5
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