At a country concert, the ratio 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?
X = The # of boys.
X+250 = The # of girls
x/(X+250) = 2/7
7x = 2x + 500
5x = 500
X = 100 Boys.
X+250 = 100+250 = 350 Girls.
what is the correct answer
To find the number of boys at the concert, we need to set up a proportion based on the given ratio. Let's assume the number of boys is represented by "x":
Ratio of boys to girls = 2:7
So, (boys/girls) = (2/7)
It is given that there are 250 more girls than boys, which can be expressed as:
girls = boys + 250
Substituting this value in the proportion:
(boys/(boys+250)) = (2/7)
Now, we can solve for the number of boys:
Cross multiplying the equation:
7 * boys = 2 * (boys + 250)
Expanding the equation:
7 * boys = 2 * boys + 500
Simplifying the equation:
7 * boys - 2 * boys = 500
5 * boys = 500
Dividing by 5:
boys = 500/5
boys = 100
Therefore, there are 100 boys at the concert.
To find the number of boys at the concert, we need to set up an equation based on the given information.
Let's use the variable 'x' to represent the number of boys.
According to the ratio, the number of girls can be expressed as 7x.
We're also given that there are 250 more girls than boys, so we can set up the equation:
7x = x + 250
Now, we can solve for 'x' to find the number of boys.
Subtract 'x' from both sides of the equation:
7x - x = x + 250 - x
6x = 250
To isolate 'x', divide both sides of the equation by 6:
6x/6 = 250/6
x = 41.667
Since the number of boys must be a whole number, we round down to the nearest whole number.
Therefore, there are 41 boys at the country concert.