Question

Miller School has 2 boys for every 3 girls in the fifth grade. There are 120 students in the fifth grade. How many girls are there? How many boys are there?

Answer 1

`b-boys\\g-girls\\\\(b)/(g)=(2)/(3)\to b=(2)/(3)g\\\\b+g=120\to(2)/(3)g+g=120\\\\(2)/(3)g+(3)/(3)g=120\\\\(5)/(3)g=120\ \ \ \ \ /\cdot(3)/(5)\\\\g=72\\\\b=(2)/(3)\cdot72=2\cdot24=48\\\\Answer:48\ boys\ and\ 72\ girls.`