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1. on a youth football 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 ?
- A. 26
- B. 26
- C. 26
- D. 26
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.
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