to join a gym your friend pays a one-time fee of $75 and $45 per month for the duration of the membership.Your friend has paid a total of $345.How long has your friend been a member of the gym??

$345 - 75 = 270

270 / 45 = ?

To determine how long your friend has been a member of the gym, we need to calculate the number of months they have paid for.

First, we subtract the one-time fee of $75 from the total amount paid: $345 - $75 = $270.

Then, we divide the remaining amount by the monthly fee of $45: $270 รท $45 = 6.

Therefore, your friend has been a member of the gym for 6 months.

To find out how long your friend has been a member of the gym, we can set up an equation. Let's say the number of months your friend has been a member is represented by "x".

The one-time fee of $75 is paid only once, so it doesn't depend on the duration of the membership. Hence, we can ignore this fee for now and focus on the monthly fee.

Your friend pays $45 per month for the duration of the membership, so the total cost of the monthly fees can be calculated as $45 multiplied by the number of months (x), written as 45x.

To find the total amount paid, we add the one-time fee of $75 to the total monthly fees. So the equation becomes:

45x + 75 = 345

Now, let's solve this equation to find the value of x, which represents the number of months:

45x = 345 - 75
45x = 270
x = 270 / 45
x = 6

Therefore, your friend has been a member of the gym for 6 months.