Shiva brought $37.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. Shiva had $2.00 left over after buying these items. What was the cost of each item?

Question

Alden Waller

Mathematics

19 April, 12:47

Shiva brought $37.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. Shiva had $2.00 left over after buying these items. What was the cost of each item?

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Answers (1)

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Aditya Solomon · Answer 1

b = 3.5

s = 10.5

p=21

Step-by-step explanation:

b for brush

s for sketch book

p for paint set

b=1/3s

s = 1/2 p

b+s+p=37-2

1/3 s + s+2 s = 35

1/3 s + s + 2 s = 35

10/3 s=35

s = 35*3/10

s = 10.5

b=1/3 s = 10.5/3 = 3.5

s = 1/2 p so p = 2s = 2 (10.5) = 21

10.5+3.5 + 21 = 35