# SSAT Middle Level Math : How to find the common part with a Venn Diagram

## Example Questions

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### Example Question #211 : Data Analysis

The above Venn diagram shows the amount of survey respondents that only like tacos, only like tamales, and those that like both tacos and tamales.

What percent of the respondents like both tamales and tacos?

Explanation:

The total number of survey respondents is equal to  percent, which equals

The total number of respondents that do not like both tacos and tamales: .

The remaining amount equals the respondents that like both tacos and tamales.

Thus, the solution is:

Now we need to convert the fraction into a percent.

### Example Question #12 : How To Find The Common Part With A Venn Diagram

The above Venn diagram shows the results from a recent survey. Respondents had the choice of being only a fan of TEAM , only a fan of TEAM , or a fan of both of the teams. What percentage of the respondents are fans of both the teams?

Explanation:

In order to find the value of the common area of this Venn diagram, find the sum of  percent and  percent.

Then find the difference from the sum to  percent.

The solution is:

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