Question

A gym membership costs $20 per month plus a one-time fee of $30. If Josh paid $90, write an equation to determine how many months he paid for.

Answer 1

To determine how many months Josh paid for, we can set up the following equation based on the information provided.

Let \( x \) be the number of months Josh paid for. The total cost can be calculated as follows:

1. There is a one-time fee of $30.
2. The cost for the gym membership for \( x \) months is \( 20x \).

The total cost equation will be:

\[
30 + 20x = 90
\]

Now, we can solve for \( x \):

1. Subtract the one-time fee from both sides:

\[
20x = 90 - 30
\]
\[
20x = 60
\]

2. Now divide both sides by 20:

\[
x = \frac{60}{20}
\]
\[
x = 3
\]

So, Josh paid for **3 months**. The equation we used to determine the number of months is:

\[
30 + 20x = 90
\]