Question

As a membership fee a health club charges a one-time amount of $40 fee, and charges $25 for each month. The total fee after some months is $240. How many months had passed?

Answer 1

8 months

Explanation:

$240 total fee

`240-40=200` is the fee for monthly charges

`200-:40=8`

8 months had to pass before the monthly charges fee reached
$200

the 40 in 240 was the one time fee
8 months of a $25 adds up to 200.

`200+40=240`

Subtract the one-time fee from the total fee then divide that (200) by the amount charged per month (25) to find the amount of months that passed for the total fee to equal $240.

Answer 2

8 months

Explanation:

The total amount spent ("TAS") is equal to the one-time membership fee ("OTMF") plus the monthly fee ("MF"):

`"TAS"="OTMF"+"MF"`

We're given TAS=240 and OTMF=40, so let's substitute those in and then solve for the monthly fee:

`$240=$40+"MF"`

`"MF"=$200`

So we know $200 was spent on monthly fees. And we're given that the monthly fee is $25/month. We can then say that `"MF"` is equal to the $25/month times the number of months:

`"MF"=$200= ("$25"/"month")("number of months")`

We can divide both sides by 25 to find:

`$200("month"/"$25")="number of months"`

`"number of months"` = `"8 months"`