In a school, the ratio of adults to the number of children is 9 : 5.
The ratio of the number of boys to the number of girls is 6 : 1.
There are 50 more boys than girls.
How many people are there in the school?
Adults |
Children |
9 x 7 |
5 x 7 |
|
Boys |
Girls |
|
6 x 5 |
1 x 5 |
63 u |
30 u |
5 u |
The number of children is the combined repeated identity.
Make the number of children the same using the LCM of 5 and 7.
LCM of 5 and 7 = 35
Number of more boys than girls
= 30 u - 5 u
= 25 u
25 u = 50
1 u = 50 ÷ 25 = 2
Number of people
= 63 u + 30 u + 5 u
= 98 u
= 98 x 2
= 196
Answer(s): 196