Question

The ratio of boys to girls in a group is 5:1 if there are 60 more boys than girls work out how many people there are in total

Answer 1

90.

Explanation:

If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.

As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.

So x = 1/6(2x + 60)

x = 1/3x + 10

2/3 x = 10

x = 10*3/2 = 15.

So the total number of people = 2(15) + 60 = 90.