Question

Ata school

number of boys : number of girls = 11: 9
There are 124 more boys than girls.
Work out the total number of students at the school.

Answer 1

Explanation:

Let's call the number of boys "b" and the number of girls "g". From the ratio, we know that b/g = 11/9.

Also, we know that b = g + 124, so we can substitute the second equation into the first:

b/g = 11/9

b = g + 124

g + 124 / g = 11/9

Cross multiply:

9g + 1112 = 11g

Solve for g:

-2g = -1112

g = 556

So there are 556 girls and 556 + 124 = 680 boys at the school.

The total number of students at the school is 556 + 680 = 1236.

Answer 2

the answer is 1240 students total.

explanation:

let b = boys
let g = girls

g + 124 = b

so, g + 124 = 11g/9

multiply both sides by 9

9g + 9*124 = 11g

subtract 9g from both sides

9*124 = 2g

divide both sides by two

g = 9*124/2

g=9*62

g=558

so, to find the number of boys at the school, we would need to add 124 to 558

boys = 682

then, we need to find the total number of students 558+682 = 1240

hope this helps!