Question

Gina 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. Gina is taking a combined total of 13 credit hours at the two schools.At Westside she is taking w credit hours. What is an expression for the combined total dollar amount she paid for her class fees?

Answer 1

Answer:

$98w+115(13-w)$

Step-by-step explanation:

Given:

Gina takes classes at both West side Community College and Pinewood Community College.

At West side, class fees are $ 98 per credit hour,

At Pinewood, class fees are $ 115 per credit hour.

Gina is taking a combined total of 13 credit hours at the two schools.

At West side she is taking w credit hours.

Question asked:

What is an expression for the combined total dollar amount she paid for her class fees?

Solution:

Given that at West side, she is taking number of credit hours = $w$

As combined credit hour is 13,

Then, at Pinewood, class, she is taking number of credit hours = $13-w$

Now, we will find total amount she paid for $w$ number of classes at West side Community College, by unitary method:

She paid for 1 credit hour,  = $98

She paid for $w$ credit hour = $98w$

Thus, total amount she paid for $w$ number of classes at West side Community College is $98w$

Similarly, we will find total amount she paid for $13-w$ number of classes at Pinewood Community College, by unitary method:

She paid for 1 credit hour = $115

She paid for $13-w$ credit hour = $115(13-w)$

Thus, total amount she paid for $13-w$ number of classes at Pinewood Community College is $115(13-w)$

The expression for the combined total dollar amount she paid for her classes:-

$98w+115(13-w)$

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