Question

297 students are on a school trip If 4/9 of the boys is equalto 7/9 of the girls How many more boys than girls are there?? Help.. It got my brain twisted

Answer 1

Boys equal 189 and girls equal 108

Explanation:

Let b = the number of boys

Let g = the number of girls

b + g = 297

Rewrite as g = 297 - b

`(4)/(9)`b =
`(7)/(9)`g Multiply both sides by 9

4b = 7g Substitute 297 - b for g

4b = 7(297 -b) Distribute the 7

4b = 2079 - 7b Add 7 b to both sides

11b = 2097 Divide both sides by 11

b = 189

There are 189 boys.

g = 297 - b Substitute 189 for b to solve for g

g = 297 - 189

g = 180

The number of girls is 108.

Helping in the name of Jesus.