Question

Martina painted her bedroom walls with two different colors. She painted part of the room purple and another part pink. If the surface area of the walls in her room is 320 ft^2 and she painted 96 ft^2 purple, what percent of the room did she paint pink?

Answer 1

ANSWER:

70%

STEP-BY-STEP EXPLANATION:

Given:

Total area = 320 square feet

Purple area = 96 square feet

The first thing is to calculate the pink area, subtracting the purple area from the total area, just like this:

$\begin{gathered} A_{\text{pink}}=A_{total}-A_{purple} \\ \text{ We replacing:} \\ A_{\text{pink}}=320-96 \\ A_{\text{pink}}=224ft^2 \end{gathered}$

Now, we can calculate the percent of the room that is pink by dividing the pink area by the total area, then multiplying by 100, like this:

$\begin{gathered} p=\frac{224}{320}\cdot100 \\ p=0.7\cdot100 \\ p=70\% \end{gathered}$

Which means that the pink air represents 70% of the room