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

Answer:

133 girls

Step-by-step explanation:

Total members = x

Number of boys = $\frac{2}{9}x$

Number of girls = $\frac{2}{9}x +95$

Number of boys + Number of girls = total members

$\frac{2}{9}x+\frac{2}{9}x+95=x\\\\\frac{2}{9}x+\frac{2}{9}x=x -95\\\\\frac{2}{9}x+\frac{2}{9}x-x=-95\\\\\frac{4}{9}x-x = -95\\\\\frac{4}{9}x-\frac{9}{9}x = -95\\\\\frac{-5}{9}x=-95\\\\x = -95*\frac{9}{-5}\\\\x=19*9$

x = 171

Number of boys = $\frac{2}{9}*171$ = 2 * 19 = 38

Number of girls = 38 + 95   = 133