There were 165 adults enrolled in the Barbara Gym School in 2018.
311 of the adults were women. Additional adults joined the gym school in 2019. For every 3 women who joined the gym school, 2 men joined the gym school. If there was an equal number of men and women in 2019, how many men joined the school in that year?
| |
Women |
Men |
| Before |
45 |
120 |
| Change |
+ 3 u |
+ 2 u |
| After |
45 + 3 u |
120 + 2 u |
Fraction of adults who are men
= 1 -
311 =
811 Number of women at first
=
311 x 165
= 45
Number of men at first
=
811 x 165
= 120
Women who joined : Men who joined
3 : 2
The number of men and women in the end is the same.
45 + 3 u = 120 + 2 u
3 u - 2 u = 120 - 45
1 u = 75
Number of men who joined the school in that year
= 2 u
= 2 x 75
= 150
Answer(s): 150
