Question

Jacob spends 13/4 dollars to paint 9/3 square feet. Find the cost to paint a square feet per dollar.
13/9 square feet/dollar
3/13 square feet/dollar
12/13 square feet/dollar
13/12 square feet/dollar

Answer 1

To find the cost to paint a square foot per dollar, we first need to determine how much area Jacob can paint per dollar.

Jacob spends \(\frac{13}{4}\) dollars to paint \(\frac{9}{3}\) square feet.

1. Simplify \(\frac{9}{3}\):
\[
\frac{9}{3} = 3 \text{ square feet}
\]

2. Now, we calculate the area painted per dollar:
\[
\text{Area per dollar} = \frac{\text{Area}}{\text{Cost}} = \frac{3 \text{ square feet}}{\frac{13}{4} \text{ dollars}}
\]

3. To divide by a fraction, multiply by the reciprocal:
\[
\text{Area per dollar} = 3 \times \frac{4}{13} = \frac{12}{13} \text{ square feet per dollar}
\]

Thus, the cost to paint a square foot per dollar is \(\frac{12}{13}\) square feet per dollar.

The correct answer is **12/13 square feet/dollar**.