Answer :

GinnyAnswer
To solve the problem of finding the number of boys in a class knowing there are 18 girls and the ratio of girls to boys is [tex]\(3:2\)[/tex], follow these steps:

1. Understand the given ratio: The ratio of the number of girls to boys is given as [tex]\(3:2\)[/tex]. This means for every 3 girls, there are 2 boys.

2. Set up the ratio equation: Let [tex]\(G\)[/tex] be the number of girls and [tex]\(B\)[/tex] be the number of boys.

According to the problem:
[tex]\[ \frac{G}{B} = \frac{3}{2} \][/tex]

3. Substitute the known value: We know there are 18 girls, so [tex]\(G = 18\)[/tex].

Thus, the equation becomes:
[tex]\[ \frac{18}{B} = \frac{3}{2} \][/tex]

4. Solve for [tex]\(B\)[/tex]: To find the number of boys, we need to isolate [tex]\(B\)[/tex]. We can do this by cross-multiplying to solve the equation:
[tex]\[ 18 \cdot 2 = 3 \cdot B \][/tex]

Simplifying this:
[tex]\[ 36 = 3B \][/tex]

Divide both sides of the equation by 3 to solve for [tex]\(B\)[/tex]:
[tex]\[ B = \frac{36}{3} = 12 \][/tex]

5. Conclusion: The number of boys in the class is 12.

So, based on the given ratio and the number of girls, there are 12 boys in the class.
Hi1315

Answer:

12 boys

Step-by-step explanation:

There are 18 girls in the class, and the ratio of girls to boys is 3:2.

For every 3 girls, there are 2 boys.

18 girls represent the "3" in the ratio.

Divide 18 by 3 to find one part:

18 ÷ 3 = 6

Multiply by 2 to find the number of boys:

6 × 2 = 12

So, there are 12 boys in the class.

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