Question

A drama club has 45 members and adds 5 new members each month. A photography club has 42 members and adds 6 new members each month. Set up and solve an equation to determine the number of months, m, it will take before both clubs have the same number of members.

Answer 1

c.

3 months

Explanation:

Answer 2

`m = 3`

Explanation:

Let's call m the number of months.

The drama club adds 5 new members every month. This means that after m months the number of people that will have added is: 5m

If you initially have 45 members then the number of members n will be:

`n = 45 + 5m`

The photography club adds 6 new members every month. This means that after m months the number of people that will have added is: 6m

If you initially have 42 members then the number of members n will be:

`n = 42 + 6m`.

To know in which month both clubs will have the same number of members we equate the equations and solve for m.

`42 + 6m = 45 + 5m`

`6m-5m = 45-42`

`m = 3`

In the third month both clubs will have the same number of members:
`n = 60`