Question

The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how

many people there are in total.

Answer 1

104

Explanation:

The ratio of boys : girls = 3 : 1 = 3x : x ( x is a multiplier )

There are 52 more boys than girls , so

3x = x + 52 ( subtract x from both sides )

2x = 52 ( divide both sides by 2 )

x = 26, then

3x = 3 × 26 = 78 ← number of boys

Total number = 78 + 26 = 104