Question

2/9 of the members are boys in a community service club. if there are 95 more girls than boys, how many girls are there in club?

Answer 1

133 girls

Explanation:

Total members = x

Number of boys =
`(2)/(9)x`

Number of girls =
`(2)/(9)x +95`

Number of boys + Number of girls = total members

`(2)/(9)x+(2)/(9)x+95=x\\\\(2)/(9)x+(2)/(9)x=x -95\\\\(2)/(9)x+(2)/(9)x-x=-95\\\\(4)/(9)x-x = -95\\\\(4)/(9)x-(9)/(9)x = -95\\\\(-5)/(9)x=-95\\\\x = -95*(9)/(-5)\\\\x=19*9`

x = 171

Number of boys =
`(2)/(9)*171` = 2 * 19 = 38

Number of girls = 38 + 95 = 133