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Math

Question There are 3 boys for every 6 girls at a movie. If there are 24\mathbf{24} girls, how many boys are there?

Studdy Solution

STEP 1

Assumptions1. The ratio of boys to girls at the movie is36. The total number of girls at the movie is24

STEP 2

First, we need to simplify the ratio of boys to girls.BoysGirls=6\frac{Boys}{Girls} = \frac{}{6}

STEP 3

implify the ratio by dividing both sides by the greatest common divisor, which is3.
BoysGirls=3÷36÷3\frac{Boys}{Girls} = \frac{3 \div3}{6 \div3}

STEP 4

Calculate the simplified ratio.
BoysGirls=12\frac{Boys}{Girls} = \frac{1}{2}

STEP 5

Now that we have the simplified ratio, we can find the number of boys at the movie by multiplying the number of girls by the ratio of boys to girls.
Boys=Girls×BoysGirlsBoys = Girls \times \frac{Boys}{Girls}

STEP 6

Plug in the values for the number of girls and the ratio of boys to girls.
Boys=24×12Boys =24 \times \frac{1}{2}

STEP 7

Calculate the number of boys at the movie.
Boys=24×12=12Boys =24 \times \frac{1}{2} =12There are12 boys at the movie.

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