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Question

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)
Responses

3
3

4
4

5
5

6
6

1 answer

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

For Club A, the total cost after \( x \) months is: \[ \text{Cost of Club A} = 10 + 15x \]

For Club B, the total cost after \( x \) months is: \[ \text{Cost of Club B} = 25 + 12x \]

Now we want to find \( x \) when the costs are equal: \[ 10 + 15x = 25 + 12x \]

Now, we can solve this equation. First, let's isolate \( x \):

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

  2. Then subtract \( 10 \) from both sides: \[ 3x = 15 \]

  3. Finally, divide both sides by \( 3 \): \[ x = 5 \]

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

So the answer is: 5