Donica wants to join a gym.
Gym A: $20 joining fee and $40 monthly charge.
Gym B: No joining fee and $45 monthly charge.
Enter the number of months it will take for the total cost for both gyms to be equal.

It will take four months.

Step-by-step explanation:

We can easily solve this by using an equation. Lets substitute y for the amount of months and b for the joining fee. M will be the monthly charge.

Our equation is my+b=my+b

Substitute the known values.

(40)y+20=(45)y+0. The joining fee for gym b is zero because it has no joining fee. All we need to do now is solve.

Subtract 40y on both sides to combine like terms.

20=5y

Now divide by 5 to isolate y.

4=y

It will take four months for the cost of both gyms to be equal. Just to check, lets substitute 4 for y.

40(4)+20=45y

Multiply.

160+20=180

Add.

180=180.

Hope this helps!

4

Step-by-step explanation:

x=# months

20+40x=45x

     -40x  -40x

––––––––––

 20= 5x

÷5    ÷5

4 = x  or

x=4