You are choosing between two health clubs. Club A offers a membership fee of $10 plus $15 per month. Club B offers a fee of $25 plus $12 per month. After how many months will both clubs cost the same?(1 point)

To find out after how many months both clubs cost the same, we can set up an equation for the total cost of each club.

Let \( m \) be the number of months.

Cost for Club A: \[ \text{Cost}_A = 10 + 15m \]

Cost for Club B: \[ \text{Cost}_B = 25 + 12m \]

We want to find the value of \( m \) when the costs are equal: \[ 10 + 15m = 25 + 12m \]

Now, let's solve for \( m \):

1. Subtract \( 12m \) from both sides: \[ 10 + 3m = 25 \]

2. Subtract 10 from both sides: \[ 3m = 15 \]

3. Divide by 3: \[ m = 5 \]

Thus, after 5 months, both clubs will cost the same.