The fitness club offers two classes
Afternoon and morning
Number of people already in the morning class is 40
The growing rate is 2 people per month
Number of people in afternoon class is 22
The growing rate is 8 people per month
let x be the number of month
For morning class
40 members are present already and 2 people join them every month
Therefore, our algebraic expression is
Number of people present already + rate of people joining x month
40 + 2 * x
= 40 + 2x
For afternoon class
The same procedure is applied as indicated in the morning class
Therefore, algebraic expression is
22 + 8 * x
= 22 + 8x
equate the two algebraic expression together
40 + 2x = 22 + 8x
collect the like terms
40 - 22 = 8x - 2x
18 = 6x
divide both sides by 6
18/6 = 6x/6
3= x
x = 3
since x represent the number of months
Therefore, both the morning and afternoon classes will have the same number of people in 3 months
To know the number of people in each class
For morning class
The algebraic expression is
40 + 2x
x = 3
40 + 2 x 3
40 + 6
= 46
For afternoon class
22 + 8x
22 + 8 x 3
22 + 24
= 46
46 number of people will be in morning and afternoon class in 3 months