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HOTELS The Lincoln’s hotel room costs $90 a night. An additional 10% tax is added. Hotel parking is $12 per day. The Lincolns expect to spend $30 in tips during their stay. Solve the inequality 90x + 90(0.1)x + 12x + 30 600 to find how many nights the Lincolns can stay at the hotel without exceeding total hotel costs of $600.

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Answer:

5 nights

Step-by-step explanation:

Solve the inequality:

90x + 90(0.1)x + 12x + 30 [tex]\leq[/tex] 600

Add like terms:

102x + 30 + 90(0.1)x [tex]\leq[/tex] 600

Isolate the variables:

102x + 90(0.1)x [tex]\leq[/tex] 570

102x + 9x [tex]\leq[/tex] 570

111x [tex]\leq[/tex] 570

x [tex]\leq[/tex] 5.13

So, the Lincolns can stay for 5 nights without exceeding $600

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