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Vinil7 [7]
2 years ago
12

Genevieve brought $35.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much a

s the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Genevieve had $2.00 left over after buying these items.
Mathematics
1 answer:
leonid [27]2 years ago
6 0

The cost of a brush, a sketchbook, and a paint set will be $ 2.38, $ 14.3, and $ 19.067 respectively.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Genevieve brought $35.75 to the art supply store.

She bought a brush, a sketchbook, and a paint set.

Let x be the cost of the paint set.

The sketchbook cost 3/4 the cost of the paint set. Then the cost of the sketchbook will be

\rightarrow \rm \dfrac{3x}{4}

The brush was 1/6 as much as the sketchbook. Then the cost of the brush will be

\rightarrow \rm \dfrac{3x}{4} \times \dfrac{1}{6}=\dfrac{x}{8}

Then the value of the paint set will be

\begin{aligned} \dfrac{3x}{4} +\dfrac{x}{8} + x &= 35.75\\\\\dfrac{15}{8}x &= 35.75\\\\15x &= 286\\\\x &= \$ 19.067 \end{aligned}

Then the cost of the sketchbook will be

→ 3 × 19.067 / 4 = $ 14.3

Then the cost of the brush will be

→ $ 2.38

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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