a hotel has 260 rooms- some single and some doubles. The singles cost $69 per night and the doubles cost $85 per night. Because of a math teacher's convention, all the hotel rooms are occupied. The sales for this night are $21,076. How many singles are there

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13-10-2014
Mathematics

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a hotel has 260 rooms- some single and some doubles. The singles cost $69 per night and the doubles cost $85 per night. Because of a math teacher's convention, all the hotel rooms are occupied. The sales for this night are $21,076. How many singles are there

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luana luana · Answer 1 · 2014-10-13T18:22:41-04:00

luana luana

13-10-2014

[tex]x-single\ rooms\\260-x-double\ rooms\\\\69x+85(260-x)=21076\\69x+22100-85x=21076\\-16x=21076-22100\\-16x=-1024\ \ \ \ \ |:-16\\x=64\\\\There\ are\ 64\ single\ rooms.[/tex]

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