Sup boi i need with this ok

at the county 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

i am giveing 13 boi bye

Total number of boys at the concert=100

Step-by-step explanation:

The total number of boys and girls at the concert can be expressed as follows;

Total number of boys (b)=(ratio of boys/total ratio)×total number of boys and girls (t)

where;

Total number of boys=b

ratio of boys=2

total ratio=(2+7)=9

total number of boys and girls=t

replacing;

b=(2/9)×t...equation 1

The total number of girls (g)=Total number of boys (b)+250

g=b+250...equation 2

The value of b in equation 2 is replaced by the value of b in equation 1;

g=(2/9)t+250

And the total number can be expressed as;

Total number (t)=Total number of boys (b)+total number of girls (g)

t=b+g

where;

b=(2/9)t

g=(2/9)t+250

replacing;

t=(2/9)t+(2/9)t+250

t=(4/9)t+250

t-(4/9)t=250

(5/9)t=250

t=250×9/5

t=450

The total number of boys (b)=(2/9)t

replace t with 450

b=(2/9)×450

b=100

Total number of boys at the concert=100

boys

Step-by-step explanation: