Question

Jane moved from a house with 64 square feet of closet space to an apartment with 33.28 square feet of closet space. What is the percentage decrease of Jane's closet space?
A.
48%
B.
92%
C.
38%
D.
52%

Answer 1

To find the percentage decrease in Jane's closet space, we can use the formula for percentage decrease:

\[
\text{Percentage Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100
\]

In this case, the original value is 64 square feet and the new value is 33.28 square feet.

1. Calculate the decrease in closet space:

\[
\text{Decrease} = \text{Original Value} - \text{New Value} = 64 - 33.28 = 30.72 \text{ square feet}
\]

2. Now, substitute the values into the percentage decrease formula:

\[
\text{Percentage Decrease} = \frac{30.72}{64} \times 100
\]

3. Perform the division:

\[
\frac{30.72}{64} = 0.48
\]

4. Convert to percentage:

\[
0.48 \times 100 = 48\%
\]

Therefore, the percentage decrease in Jane's closet space is **48%**.

The answer is **A. 48%**.