Aldo 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. Aldo is taking a combined total of 14 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.

Question

Judah

Mathematics

7 January, 12:54

Aldo 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. Aldo is taking a combined total of 14 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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Answers (1)

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Ruby Hicks · Answer 1

Let Y = total cost of both schools.

The total cost would be (number of credits at Westside x 98) + (number of credits at Pinewood x 115).

The total number of credits he is taking is 14.

If w is the number of credits at Westside, then for Westside you have 98w ($98 times the number of credit hours)

The equation is now y = 98w + (number of credits at Pinewood x 115).

The number of credit hours at Pinewood would be the total credit hours 14 minus the credit hours at Westside w, so you have 14-w, which needs to be multiplied by the cost at Pinewood.

The equation is now y = 98w + 115 (14-w)

This can be simplified using the distributive property to:

Y = 98w + 1610 - 115w

Y = - 17w + 1610