Question

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 as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Genevieve had $2.00 left over after buying these items.

Answer 1

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

What is the linear system?

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.

https://brainly.com/question/20379472

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