Question

Write and solve a proportion to answer the question. Round the answer to the nearest tenth.

What percent of 36 is 20?

Answer 1

7.2

Explanation:

36 divided by 5 = 7.2

7.2 times 5 = 36.

Answer 2

20 is approximately 55.6% of 36.

The question is asking for a percentage, specifically what percent of 36 is 20. To solve this, we can set up a proportion where \( p \) is the percentage we are looking for:

`\[(p)/(100) = (20)/(36)\]`

Now we solve for
`\( p \)` to find the percentage:

1. Multiply both sides by 100 to isolate
`\( p \)`:

`\[p = (20)/(36) * 100\]`

2. Calculate the fraction:

`\[p = (20 * 100)/(36)\]`

3. Simplify the fraction to find \( p \):

`\[p = (2000)/(36)\]`

4. Divide to get the percentage and round to the nearest tenth:

`\[p \approx (2000)/(36) \approx 55.555...\]`

Let's perform the calculation.

The calculation for what percent of 36 is 20, rounded to the nearest tenth, is as follows:

`\[ p \approx 55.6\% \]`

So, 20 is approximately 55.6% of 36.