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The ratio of boys to girls in a school is $4$ to $5$. How many girls are in the school if a total of $945$ students are enrolled?

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Final answer:

To find the number of girls in the school, we set up a proportion using the ratio of boys to girls. We then solve the equation to find that there are 525 girls in the school.

Step-by-step explanation:

To find the number of girls in the school, we need to use the ratio of boys to girls, which is 4 to 5.

We can set up a proportion to solve the problem: boys/girls = 4 / 5.

Let's represent the number of girls as x. The number of boys would then be 4/5 * x.

We know that the total number of students in the school is 945, so we can set up another equation: x + 4/5 * x = 945.

Simplifying the equation, we get 9/5 * x = 945.

To solve for x, we divide both sides of the equation by 9/5: x = 945 ÷ (9/5) = 525.

Therefore, there are 525 girls in the school.

User Shafi
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