Problema Solution
Derek wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Derek can pay $42 per month, plus $1 for each group class he attends. Alternately, he can get the second membership plan and pay $38 per month plus $3 per class. If Derek attends a certain number of classes in a month, the two membership plans end up costing the same total amount. How many classes per month is that? What is that total amount?
Answer provided by our tutors
Let 'x' represent the number of classes per month.
With the first plan Derek will have to pay: 42 + x
With the second plan Derek will have to pay: 38 + 3x
42 + x = 38 + 3x
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click here to see the equation solved for x
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x = 2 classes
Indeed
42 + 2 = 44 = 38 + 3*2
For 2 classes per month the two membership plans end up costing the same total amount.
The total amount for 2 classes per month is: 42 + 2 = $44.