Question

In a pack of 32 cups, 4 are purple. What percentage of the cups are purple?
Start by identifying and labeling where each value belongs on the double number line. Use k to represent the percentage of cups that are purple.
cups
0

4

32
0%

k

100%
Nice!
Write a multiplication equation to help you find what percentage of cups are purple.
cups
0
4
32
0%
k
100%

32
·
k
=
4
Nice!
Now rewrite the multiplication equation as a division equation.
cups
0
4
32
0%
k
100%
k · 32 = 4
k=
4
÷
32
Great job!
Solve for the value of k.
cups
0
4
32
0%
k
100%
k · 32 = 4
k= 4 ÷ 32
k=

Answer 1

To solve for \( k \):

1. Start with the division equation:
\[
k = \frac{4}{32}
\]

2. Now, simplify \( \frac{4}{32} \):
\[
k = \frac{4 \div 4}{32 \div 4} = \frac{1}{8}
\]

3. To convert \( \frac{1}{8} \) into a percentage, multiply by 100:
\[
k = \frac{1}{8} \times 100 = 12.5
\]

So, the percentage of cups that are purple \( k \) is \( 12.5\% \).