The cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the brush cost is $B, the sketchbook cost is $S, and the paint set cost is $P.
From the problem, we can draw three linear equations in three variables:
The brush was 1/6 as much as the sketchbook:
B = (1/6)S or
6B - S = 0 ...(1)
The sketchbook cost 3/4 the cost of the paint set
S = (3/4)P or
4S - 3P = 0 ...(2)
The total cost would be:
B+S+P = 35.75 - 2
B+S+P = 33.75 ...(3)
After solving equations (1), (2), and (3) we will get the cost of each item:
B = $2.25
S = $13.50
P = $18
Thus, the cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.
Learn more about the linear equation here:
brainly.com/question/11897796
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