Flashcard 11 - Mathematics Flashcard Set for the Wonderlic Personnel Test

\[\frac{80}{200} = \frac{x}{100}\]

First, realize what the question is asking. You should subtract 120 from 200 to see that 80 gymnasts are boys.

Next, remember that you put two ratios together with an = sign to create a proportion.
Use the information you have and put an x for the information you seek. You know that 80 out of 200 gymnasts are boys, so the first fraction (ratio) is:

\[\frac{80}{200}\]

What you don’t know is what percentage this is, so that becomes the second fraction (ratio) in the proportion. Any percentage can be expressed as some number over 100 and you don’t know this particular one, so it would be:

\[\frac{x}{100}\]

Put these two ratios together and you have:

\[\frac{80}{200} = \frac{x}{100}\]

Then, cross multiply to solve for x (the number you need).