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

Answer:

$m = 3$

Step-by-step 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: $n = 60$

Answer 2

Answer:

c.    

3 months

Step-by-step explanation: