Question

one health club charges a $50 sing- up fee and $65 per month. Another club charges a $90 sign up fee and $45 per month. for what number of months is the cost of the clubs equal

Answer 1

Two months.
$50 + $65 + $65 = $180
$90 + $45 +$45 = $180
You just have to keep adding on the fees for each month until the prices meet

Answer 2

Answer: For 2 months is the cost of the clubs equal.

Explanation:

Let the month be 'x'.

In case of one health clubs:

Amount for sign up fee = $50

Amount per month = $65

So, the equation becomes,

`50+65x`

In case of another clubs:

Amount for sign up fee = $90

Amount per month = $45

So, the equation becomes

`90+45x`

According to question, we get that

`50+65x=90+45x\\\\65x-45x=90-50\\\\20x=40\\\\x=(40)/(20)\\\\x=2`

Hence, for 2 months is the cost of the clubs equal.