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?

Respuesta :

Answer:

[tex]98w+115(13-w)\\[/tex]

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 = [tex]w[/tex]

As combined credit hour is 13,

Then, at Pinewood, class, she is taking number of credit hours = [tex]13-w[/tex]

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

She paid for 1 credit hour,  = $98

She paid for [tex]w[/tex] credit hour = [tex]98w[/tex]

Thus, total amount she paid for [tex]w[/tex] number of classes at West side Community College is [tex]98w[/tex]

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

She paid for 1 credit hour = $115

She paid for [tex]13-w[/tex] credit hour = [tex]115(13-w)[/tex]

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

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

[tex]98w+115(13-w)\\[/tex]

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