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Answer :

The ratio of girls to students at a middle school is 10 to 18

[tex]\frac{\text{girls}}{\text{students}}=\frac{10}{18}[/tex]

If there are 270 students at the school, how many are girls?

Let x be the number of girls.

Then we can set up the following proportion

[tex]\frac{10}{18}=\frac{x}{270}[/tex]

Let us solve for x

[tex]\begin{gathered} \frac{10}{18}=\frac{x}{270} \\ x=\frac{10}{18}\cdot270 \\ x=150 \end{gathered}[/tex]

Therefore, there are 150 girls.