 Mathematics
6 November, 03:29

# The ratio of boys to girls in a group is 2:1. If there are 22 more boys than girls, work out how many people there are in total

+1
Answers (2)
1. 6 November, 04:38
0
66 in total. 44 boys and 22 girls

Step-by-step explanation:

you have to multiply 22 by 2 because there is twice as many (half of two is one) boys than there is girls.
2. 6 November, 05:16
0
66

Step-by-step explanation:

There is a 2:1 ratio of boys to girls, and there are 22 more boys than girls. We can assume that 2/3 of the class are boys while 1/3 of the class is girls.

The difference between the two is 1/3. This can be found by taking away the smaller of the two from the larger, in this case it's 2/3 - 1/3. Removing the third, it's 2-1 which can be done by multiplying the two fractions by three. If we add the third back by dividing by three, we get 1/3.

This means that 22 people must be equivalent to 1/3 the total class' population. If x/3 = 22, then 22 * 3 must be x.

22 * 3 = 66, so there must be 66 students in the class.
Know the Answer?