At 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 were at the concert?
2/9 boys b
7/9 girls g
b = (2/7) g or g = (7/2) b
g - 250 = b
(7/2) b - b = 250
(5/2) b = 250
5 b = 500
b = 100
To find the number of boys at the country concert, we need to understand the given information.
We are told that the ratio of the number of boys to the number of girls is 2:7. This means that for every 2 boys, there are 7 girls in attendance.
We are also given that there are 250 more girls than boys. This implies that the difference between the number of girls and boys is 250.
Let's assume the number of boys is represented by "2x" (where 'x' is a scaling factor), and the number of girls is represented by "7x" (since the ratio is 2:7).
According to the given information, the difference between the number of girls and boys is 250. Mathematically, this can be expressed as:
7x - 2x = 250
Simplifying the equation:
5x = 250
Dividing both sides by 5, we find:
x = 50
Now that we have the value of 'x', we can determine the number of boys (2x) at the concert.
Number of boys = 2 * 50 = 100
Therefore, there were 100 boys at the country concert.