Answer:
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.
<u>Our equation is my+b=my+b </u>
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
<em>It will take four months for the cost of both gyms to be equal</em>. Just to check, lets substitute 4 for y.
40(4)+20=45y
Multiply.
160+20=180
Add.
180=180.
Hope this helps!
