Mathematics, 22.05.2020 21:06 leo4687

Audrina brought $35.25 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. Audrina had $1.50 leftover after buying these items. What was the cost of each item?

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Answer from: reearamrup27

The brush cost $5.44, the sketchbook cost 10.88 and the paint set cost 14.50, approximately.

Step-by-step explanation:

Givens

Audrian has $35.25The brush was 1/6 as much as the sketchbook.The sketchbook cost 3/4 the cost of the paint set.Audrina had $1.50 leftover.She bough a brush, a sketchbook and a paint set.

Based on the given information, we can form the following equations.

$b=\frac{1}{2}s$

Where is the brush and is the sketchbook.

$s=\frac{3}{4}p$

Where is paint set.

Now, the sum of all three items would give $1.50 of leftover.

p+b+s=35.25-1.50

Replacing expressions, we have

$p+\frac{1}{2}s+\frac{3}{4}p=30.75\\ \frac{7}{4}p +\frac{1}{2}(\frac{3}{4} p)=30.75\\\frac{7}{4}p+\frac{3}{8}p=30.75\\ \frac{56p+12p}{32}=30.75\\ 68p=984\\p=\frac{984}{68}=14.50$

Then, we use this value to find the other variables

$s=\frac{3}{4}(14.50)=10.88$

$b=\frac{1}{2}(10.88)=5.44$

Therefore, the brush cost $5.44, the sketchbook cost 10.88 and the paint set cost 14.50, approximately.

Answer from: zsmart909

paint set costs $18

sketchbook costs $13.5

Brush costs $2.25

Step-by-step explanation:

Let x represent the cost of the paint set.

The sketchbook cost 3/4 the cost of the paint set. It means that the cost of the sketchbook is

3/4 × x = 3x/4

The brush was 1/6 as much as the sketchbook. It means that the cost of the brush is

1/6 × 3x/4 = 3x/24 = x/8

Audrina brought $35.25 to the art supply store. If Audrina had $1.50 leftover after buying these items, it means that the amount spent on the items is

35.25 - 1.5 = 33.75

Therefore,

x + 3x/4 + x/8 = 33.75

Multiplying through by 8, it becomes

8x + 6x + x = 270

15x = 270

x = 270/15

x = 18

The cost of the sketchbook is

(3 × 18)/4 = 13.5

The cost of the brush is

1/8 × 18 = 2.25

Answer from: Quest

the answer is d

step-by-step explanation:

Answer from: Quest

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

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Audrina brought $35.25 to the art supply store. She bought a brush, a sketchbook, and a paint set. T...