At a country concert, the ratio of the number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?
b/g = 2/7
b+250 = g
b + 250 = (7/2 b)
5/2 b = 250
b = 100
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To find the number of boys at the concert, we need to understand the given ratio and the additional information that there are 250 more girls than boys.
Let's start by assigning variables to the unknown quantities. Let "x" represent the number of boys at the concert.
According to the ratio given, the number of girls is 7 times the number of boys. So, the number of girls can be represented as 7x.
Now, we know that there are 250 more girls than boys. This can be written as:
Number of girls = Number of boys + 250
Substituting the values we derived earlier, we have:
7x = x + 250
To solve for x, we can simplify and solve the equation:
7x - x = 250
6x = 250
x = 250/6
x ≈ 41.67
Since we cannot have a fractional number of boys, we can round this to the nearest whole number. Therefore, there are approximately 42 boys at the concert.