Question

at silver gym membership is $30 per month and personal training sessions are $35 each. at fit factor, membership is $50 per month, and personal training sessions are 25 each. in one month how may training sessions would sarah have to buy to make the two gyms equal​

Answer 1

Answer: 2 training sessions

How:
With the info given, you create the equation...
35x + 30 = 25x + 50

The first thing you would do is subtract 25x from both sides since it’s the lesser value, giving you...
10x + 30 = 50

After that, you want to isolate the 10x by subtracting 30 on both sides, giving you...
10x = 20

The last thing you would do is divide both sides by 10 in order to completely isolate the value, giving you your final answer of...
x = 2

In other words, this means it would take 2 training sessions for both the gyms to reach equal value in a month.

Answer 2

Explanation:

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