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=
0.425
You got it!
Rewrite 0.425 as a percent to find the percentage of all the cups that are green.
cups
0
17
40
0%
k
100%
k · 40 = 17
k= 17 ÷ 40
k= 0.425
k=
%
% of all the cups are green.

Answer 1

To rewrite 0.425 as a percentage, you multiply it by 100:

\[
0.425 \times 100 = 42.5
\]

Therefore, \( k = 42.5 \%\).

So, 42.5% of all the cups are green.