College

Write and solve a proportion to answer the question:

What percent of 25 is [tex]$12?$[/tex]

[tex]\frac{12}{25} = \frac{p}{100}[/tex]

Solve for [tex]p:[/tex]

Answer :

To find what percent 12 is of 25, you can set up a proportion. Here's how you can solve it:

1. Understand the Problem:
- You're looking for the percentage (p) that 12 is of 25.

2. Set up the Proportion:
- You can write the problem as a proportion where the part (12) is to the whole (25) as p (the percent) is to 100.

[tex]\[
\frac{12}{25} = \frac{p}{100}
\][/tex]

3. Solve the Proportion:
- To solve for p, you can cross-multiply:

[tex]\[
12 \times 100 = 25 \times p
\][/tex]

- Simplifying the left side:

[tex]\[
1200 = 25p
\][/tex]

4. Isolate p:
- Divide both sides of the equation by 25 to solve for p:

[tex]\[
p = \frac{1200}{25}
\][/tex]

- Calculate the division:

[tex]\[
p = 48
\][/tex]

5. Conclusion:
- 12 is 48% of 25.

So, the final answer is that 12 is 48% of 25.