High School

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]:
[tex]$p = \square$[/tex]

Answer :

To determine what percent of 25 is 12, we can set up a proportion. A proportion compares two ratios and can be solved to find a missing value.

Step 1: Set up the proportion. We want to find what percent (p) 12 is of 25. The proportion can be written as:
[tex]\[
\frac{12}{25} = \frac{p}{100}
\][/tex]

Step 2: Solve the proportion for p. To do this, we'll cross multiply and then divide to isolate p.

1. Cross multiply:
[tex]\[
12 \times 100 = 25 \times p
\][/tex]

2. Simplify the multiplication:
[tex]\[
1200 = 25p
\][/tex]

3. Solve for p by dividing both sides by 25:
[tex]\[
p = \frac{1200}{25}
\][/tex]

4. Calculate the division:
[tex]\[
p = 48
\][/tex]

So, 12 is 48% of 25.