There were 143 adults enrolled in the Zoe Dancing School in 2022.
311 of the adults were women. Additional adults joined the dancing school in 2023. For every 3 women who joined the dancing school, 2 men joined the dancing school. If there was an equal number of men and women in 2023, how many men joined the school in that year?
|
Women |
Men |
Before |
39 |
104 |
Change |
+ 3 u |
+ 2 u |
After |
39 + 3 u |
104 + 2 u |
Fraction of adults who are men
= 1 -
311 =
811 Number of women at first
=
311 x 143
= 39
Number of men at first
=
811 x 143
= 104
Women who joined : Men who joined
3 : 2
The number of men and women in the end is the same.
39 + 3 u = 104 + 2 u
3 u - 2 u = 104 - 39
1 u = 65
Number of men who joined the school in that year
= 2 u
= 2 x 65
= 130
Answer(s): 130