Solved on Oct 20, 2023

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

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. $\frac{Boys}{Girls} = \frac{}{6}$

STEP 3

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

STEP 4

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

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.
$Boys = Girls \times \frac{Boys}{Girls}$

STEP 6

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

STEP 7

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

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

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. $\frac{Boys}{Girls} = \frac{}{6}$

STEP 3

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

STEP 4

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

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.
$Boys = Girls \times \frac{Boys}{Girls}$

STEP 6

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

STEP 7

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

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

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}GirlsBoys​=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}GirlsBoys​=6÷33÷3​

STEP 4

Calculate the simplified ratio.BoysGirls=12\frac{Boys}{Girls} = \frac{1}{2}GirlsBoys​=21​

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}Boys=Girls×GirlsBoys​

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}Boys=24×21​

STEP 7

Calculate the number of boys at the movie.Boys=24×12=12Boys =24 \times \frac{1}{2} =12Boys=24×21​=12There are12 boys at the movie.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

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

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

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

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

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.
$Boys = Girls \times \frac{Boys}{Girls}$

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

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