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26 December, 08:48

The ratio of girls to boys at a movie is 3:8. If there are 32 boys, how many girls are at the movie

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  1. 26 December, 09:08
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    Answer: 12 girls

    Step-by-step explanation: Our first step in this problem is to write down the unit ratio that is involved. In this case, it's girls/boys.

    Next, we set up our proportion. We know that at a movie there are 3 girls for every 8 boys so we have 3/8 and we are asked how many girls are at the movie if 32 boys are the movie so that's x/32.

    Now we have the proportion 3/8 = x/32.

    Notice that the 32 boys must go on the bottom of the second ratio because our unit ratio tells us that we put girls/boys.

    Solving from here, we use the means-extremes property to get 3 times 32 to get 96 = 8 times x or 8x. So we have 96 = 8x.

    Dividing both sides by 8, we find that 12 = x.

    This means that 12 girls are at the movie when 32 boys are at the movie.
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