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Math  /  Numbers & Operations

QuestionMr. Aquaphore bought 364 square feet of wallpaper for \$36,494. What was his cost per square yards?

Studdy Solution

STEP 1

What is this asking? We need to find out how much Mr.
Aquaphore paid for each square yard of wallpaper. Watch out! Don't forget to convert square feet to square yards before calculating the cost per square yard!

STEP 2

1. Convert square feet to square yards
2. Calculate the cost per square yard

STEP 3

First, let's remember that there are **3 feet in a yard**.
So, when we're dealing with areas, we need to square that conversion factor.
This means there are 3⋅3=93 \cdot 3 = 9 square feet in a square yard.

STEP 4

Now, let's **convert the area** Mr.
Aquaphore bought from square feet to square yards.
We have **364 square feet**.
To find out how many square yards that is, we divide by 9:
364 square feet9 square feet per square yard=40.44 square yards\frac{364 \text{ square feet}}{9 \text{ square feet per square yard}} = 40.44 \text{ square yards}

STEP 5

Now that we know Mr.
Aquaphore bought **40.44 square yards**, let's find out how much he paid per square yard.
He spent $36,494\$36,494 in total.
So, we divide the total cost by the number of square yards:
$36,49440.44 square yards≈$902.45 per square yard\frac{\$36,494}{40.44 \text{ square yards}} \approx \$902.45 \text{ per square yard}

STEP 6

Mr. Aquaphore's cost per square yard of wallpaper was approximately $902.45\$902.45.

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