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1 . On a youth soccer team, the ratio of boys to girls is 6 to 7. If there are 2 more girls than boys on the team, how many boys are on the team?

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Answer: Option D

Explanation:

Let's use algebra to solve this problem. Let's call the number of boys B and the number of girls G.

According to the given information, the ratio of boys to girls is 6 to 7, which can be expressed as:

B/G = 6/7

We're also given that there are 2 more girls than boys:

G = B + 2

Now, we can use this information to set up an equation. Substitute G in terms of B from the second equation into the first equation:

B / (B + 2) = 6 / 7

Now, cross-multiply to solve for B:

7B = 6(B + 2)

7B = 6B + 12

Subtract 6B from both sides:

B = 12

So, there are 12 boys on the team.