Answer :
To find out what percentage 12 is of 25, you set up the proportion [tex]\(\frac{p}{100} = \frac{12}{25}\)[/tex], solve for [tex]\(p\)[/tex], and determine that 12 is 48% of 25.
To solve the proportion "What percent of 25 is 12?" you can set up the following equation:
[tex]\(\frac{p}{100} = \frac{12}{25}\)[/tex]
Here, \(p\) represents the unknown percentage we're trying to find.
To solve for \(p\), you can cross-multiply:
[tex]\(25p = 12 \times 100\)[/tex]
[tex]\(25p = 1200\)[/tex]
Now, isolate \(p\) by dividing both sides by 25:
[tex]\(p = \frac{1200}{25}\)[/tex]
[tex]\(p = 48\)[/tex]
So, 12 is 48% of 25.
Final answer:
To determine what percent of 25 is 12, set up the proportion 12/25 = p/100, cross-multiply, and solve for p to find that 12 is 48% of 25.
Explanation:
To find what percent of 25 is 12, we set up the proportion where 12 is to 25 as p is to 100. The proportion looks like this:
[tex]\(\frac{12}{25} = \frac{p}{100}\)[/tex]
We then cross-multiply to solve for p:
[tex]12 \(\cdot\) 100 = 25 \(\cdot\) p[/tex]
1200 = 25p
Next, we divide both sides by 25 to solve for p:
[tex]\(\frac{1200}{25} = p\)[/tex]
Which simplifies to:
48 = p
Therefore, 12 is 48% of 25.