In a school, the ratio of children to the number of adults is 1 : 10.
The ratio of the number of women to the number of men is 7 : 6.
There are 100 more women than men.
How many people are there in the school?
| Children |
Adults |
| 1 x 13 |
10 x 13 |
| |
Women |
Men |
| |
7 x 10 |
6 x 10 |
| 13 u |
70 u |
60 u |
The number of adults is the combined repeated identity.
Make the number of adults the same using the LCM of 10 and 13.
LCM of 10 and 13 = 130
Number of more women than men
= 70 u - 60 u
= 10 u
10 u = 100
1 u = 100 ÷ 10 = 10
Number of people
= 13 u + 70 u + 60 u
= 143 u
= 143 x 10
= 1430
Answer(s): 1430
