Question

In a pack of 40 cups, 17 are green. What percentage of the cups are green?
Start by identifying and labeling where each value belongs on the double number line. Use k to represent the percentage of cups that are green.
cups
0

17

40
0%

k

100%
Good work!
Write a multiplication equation to help you find what percentage of cups are green.
cups
0
17
40
0%
k
100%

40
·
k
=
17
Nice!
Now rewrite the multiplication equation as a division equation.
cups
0
17
40
0%
k
100%
k · 40 = 17
k=
17
÷
40
Nice!
Solve for the value of k.
cups
0
17
40
0%
k
100%
k · 40 = 17
k= 17 ÷ 40
k=

Answer 1

To solve for the value of k, you would divide 17 by 40:

\[
k = \frac{17}{40}
\]

Now, perform the division:

\[
k = 0.425
\]

To convert this decimal into a percentage, you multiply by 100:

\[
k = 0.425 \times 100 = 42.5
\]

Therefore, the percentage of the cups that are green is:

\[
\boxed{42.5\%}
\]