Question

Fred takes classes at both Seminole State College and Valencia Community College. At Seminole, class fees are $95
per credit hour, and at Valencia, class fees are $118
per credit hour. Fred is taking a combined total of 12
credit hours at the two schools.
95s
118s+95
95s+118
95(12-s)+118
-23s+1416
195s+1,416

Suppose that he is taking
credit hours at Seminole. Write an expression for the combined total dollar amount he paid for his class fees.

Answer 1

Let \( s \) be the number of credit hours Fred is taking at Seminole State College. Since Fred is taking a total of 12 credit hours between the two schools, he is taking \( 12 - s \) credit hours at Valencia Community College.

The class fees for Seminole State College are $95 per credit hour, and the fees for Valencia Community College are $118 per credit hour.

Now we can write the expression for the total amount Fred paid for his class fees:

1. Cost at Seminole: \( 95s \) (since he is taking \( s \) credit hours)
2. Cost at Valencia: \( 118(12 - s) \) (since he is taking \( 12 - s \) credit hours)

The combined total dollar amount Fred paid for his class fees is:

\[
\text{Total cost} = 95s + 118(12 - s)
\]

Now we can simplify this expression:

\[
\text{Total cost} = 95s + 118 \times 12 - 118s
\]

Calculating \( 118 \times 12 \):

\[
118 \times 12 = 1416
\]

So the expression simplifies to:

\[
\text{Total cost} = 95s + 1416 - 118s
\]

Combining like terms:

\[
\text{Total cost} = (95 - 118)s + 1416
\]
\[
\text{Total cost} = -23s + 1416
\]

Thus, the expression for the combined total dollar amount Fred paid for his class fees is:

\[
-23s + 1416
\]