QuestionStephanie has $3 \frac{3}{4}$ bags of soil, each covering $125.3 \mathrm{ft}^{2}$ . How much area can she cover?

Studdy Solution

STEP 1

Assumptions1. Stephanie has $3 \frac{3}{4}$ bags of soil. . Each bag of soil will cover $125.3 \mathrm{ft}^{}$ .
3. Stephanie uses all the bags of soil.

STEP 2

First, we need to convert the mixed number to an improper fraction. This will make it easier to perform the multiplication later.
$\frac{}{4} = \frac{15}{4}$

STEP 3

Now, we need to find the total area that Stephanie can cover with all the bags of soil. We can do this by multiplying the number of bags by the area each bag can cover.
$Total\, area = Number\, of\, bags \\times Area\, per\, bag$

STEP 4

Now, plug in the given values for the number of bags and the area per bag to calculate the total area.
$Total\, area = \frac{15}{4} \\times125.3 \mathrm{ft}^{2}$

STEP 5

Calculate the total area Stephanie can cover with all the bags of soil.
$Total\, area = \frac{15}{4} \\times125.3 \mathrm{ft}^{2} =469.1 \mathrm{ft}^{2}$ Stephanie will be able to cover $469.1 \mathrm{ft}^{2}$ with all the bags of soil.

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