Question

Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3hrs. AT this rate, how long will take her to paint the entire room?

6hrs

9/4 hrs

12 hrs

4 hrs

Answer 1

To find out how long it will take Stacy to paint the entire bedroom, we can use the information that she is able to paint \( \frac{3}{4} \) of the room in 3 hours.

First, we calculate the rate at which she paints the room:

If \( \frac{3}{4} \) of the room takes 3 hours, then the time to paint 1 whole room (1 room) can be calculated as follows:

Let \( T \) be the time to paint 1 whole room. Since \( \frac{3}{4} \) of the room takes 3 hours, we can set up the proportion:

\[
\frac{3}{4} \text{ room} \rightarrow 3 \text{ hours}
\]
\[
1 \text{ room} \rightarrow T \text{ hours}
\]

The relationship can be expressed as:

\[
\frac{3}{4} : 3 = 1 : T
\]

Cross-multiplying gives us:

\[
3T = 3 \times 4
\]
\[
3T = 12
\]
\[
T = \frac{12}{3} = 4 \text{ hours}
\]

Thus, it will take Stacy 4 hours to paint the entire bedroom.

The correct answer is:

**4 hrs**