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College Mathematics, word problems

Algebra
Tutor: None Selected Time limit: 1 Day

A hotel has 150 rooms. A room with additional services costs $80 per night, and one without additional services costs $60 per night. On a night when the hotel is completely occupied, the total revenue is $10,000. How many of each type of room does the hotel have?

Mar 23rd, 2015

Let x = number of rooms with additional services

Let y = number of rooms without additional services

x + y = 150

y = 150 - x

80x + 60y = 10,000

80x + 60(150 - x) = 10,000

80x + 9000 - 60x = 10,000

20x = 1000

x = 50

y = 150 - 50 = 100

Mar 23rd, 2015

THANK YOU!!!!!! I have about eight more do you think you could help with?

Mar 23rd, 2015

Maybe later. I have to take a test for another student now.

Mar 23rd, 2015

The other student is not responding. I may be able to help you in a couple of minutes.

Mar 23rd, 2015

Thank you i only have eight problems the next one is The perimeter of a rectangular field is 300 meters. This field is to be fenced along three sides only. The fencing along its two lengths and one width is to be done at $50 per meter. If the total cost of fencing is $12,000, what are the field’s dimensions?

Mar 23rd, 2015

Oh, but you have to ask each one separately, not all eight for $1.

Mar 23rd, 2015

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Mar 23rd, 2015
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Mar 23rd, 2015
Dec 10th, 2016
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