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32 votes
32 votes
The ratio of girls to boys in the school marching band is 3 to 2. If there are 24 boys in the marching, how many of the students in the marching band are girls.

A.42
B.28
C.32
D.36

User Jsz
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1 Answer

19 votes
19 votes

Answer:

D. 36

Explanation:

Ratios are a way to represent of how much there is one thing to another. It's a more simplistic representation.

For example, if there were 625 adults and 375 children, we don't say there are 625 adults to 375 children, we say there are 5 adults to 3 children.

All I did was divide both the number of children and adults by 125 and we have a ratio of 5:3 for adults to children respectively.

In this problem, we have a ratio of 3:2 for girls to boys. This 3:2 ratio is a simplistic representation of the number of girls to boys. We know that there are 24 boys.

Dividing 24/2 = 12

12 is the proportion which we multiply by the ratio to get the true numbers for boys and girls.

2 * 12 = 24 boys

3 * 12 = 36 girls

So there are 36 girls in the marching band.

User Dmitri Timofti
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