Questions: A gym charges members 35 for a registration fee, and then 38 per month. You became a member some time ago, and now you have paid a total of 415 to the gym. How many months have passed since you joined the gym? months have passed since you joined the gym.

A gym charges members 35 for a registration fee, and then 38 per month. You became a member some time ago, and now you have paid a total of 415 to the gym. How many months have passed since you joined the gym? months have passed since you joined the gym.

Transcript text: A gym charges members $\$ 35$ for a registration fee, and then $\$ 38$ per month. You became a member some time ago, and now you have paid a total of $\$ 415$ to the gym. How many months have passed since you joined the gym? $\square$ months have passed since you joined the gym.

Solution

Solution Steps

To determine the number of months that have passed since you joined the gym, we need to subtract the registration fee from the total amount paid and then divide the result by the monthly fee.

Step 1: Identify the Total Amount Paid

The total amount paid to the gym is given as $ \$415 $.

Step 2: Subtract the Registration Fee

The registration fee is $ \$35 $. Therefore, the amount paid for the monthly fees is calculated as: \[ \text{Amount for monthly fees} = 415 - 35 = 380 \]

Step 3: Calculate the Number of Months

The monthly fee is $ \$38 $. To find the number of months that have passed, we divide the amount paid for monthly fees by the monthly fee: \[ \text{Months passed} = \frac{380}{38} = 10 \]