Problem

Austin takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $\$ 98$ per credit hour, and at Pinewood, class fees are $\$ 115$ per credit hour. Austin is taking a combined total of 20 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.
\[
\text { total paid (in dollars) }=\mathbb{0}
\]

Answer

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Answer

Final Answer: \(\boxed{2300 - 17w}\)

Steps

Step 1 :Calculate the cost of Austin's classes at Westside: $98w

Step 2 :Calculate the cost of Austin's classes at Pinewood: $115(20 - w)

Step 3 :Find the combined total dollar amount Austin paid for his class fees: $98w + $115(20 - w)

Step 4 :Simplify the expression: $98w + $115(20 - w)

Step 5 :Combine like terms: $98w + $2300 - $115w

Step 6 :Simplify further: $2300 - $17w

Step 7 :Final Answer: \(\boxed{2300 - 17w}\)

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