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Eric takes classes at both Westside community college and Pinewood community college. At westside per credit hour and at pinewood class fees are $115 per credit hour. Eric is taking a combined total of 17 credit hours at the two schools. suppose that he is taking W credit hours at Westside. Write an expression for the combined total dollar amount he paid for his class fees.

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Represent credit hours at each of the two schools with two different variables


\begin{gathered} x=\text{credit hours at Westside Community College} \\ y=\text{credit hours at Pinewood Community College} \end{gathered}

From the question, write out the equation that relates the credit hours of the two schools


x+y=17====\text{equation}(1)

From the question, it can be observed that the credit hours at Westside is represented as W.

Therefore, the equation becomes


W+y=17=====\text{equation (2)}

Represent the dollar amount per credit hour at westside Community College using a and the total dollar amount for the two classes to be b. Then b becomes


b=aW+115y

If a is given as$98, then b becomes


b=98W+115y======\text{equation (3)}

Make y the subject of the equation (2) and substitute in equation 3


\begin{gathered} W+y=17 \\ y=17-W \end{gathered}
\begin{gathered} b=98W+115y \\ b=98W+115(17-W) \\ b=98W+1955-115W \\ b=1955-17W \end{gathered}

Hence, the expression for the combined total dollar amount he paid for his class fees is 1955 - 17W

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