In a school, the ratio of children to the number of adults is 4 : 7.
The ratio of the number of women to the number of men is 7 : 6.
There are 14 less men than women.
How many people are there in the school?
Children |
Adults |
4 x 13 |
7 x 13 |
|
Women |
Men |
|
7 x 7 |
6 x 7 |
52 u |
49 u |
42 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 7 and 13.
LCM of 7 and 13 = 91
Number of less men than women
= 49 u - 42 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of people
= 52 u + 49 u + 42 u
= 143 u
= 143 x 2
= 286
Answer(s): 286