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Lerok [7]
3 years ago
13

The Slow Fix auto shop charges $28 for parts and $48 per hour of labor. The We Work Cheaper auto shop charges $59 for parts and

$44.90 per hour of labor. For how many hours will the total cost the same for both auto shops?
Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer: 10 hours

Step-by-step explanation:

Given

Slow fix auto charge $28 for parts and $48 per hour of labor

We work charge $59 for parts and $44.90 per hour of labor

Suppose both works for x hours

Cost of Slow fix= \$(28+48x)

Cost of We work= \$(59+44.90x)

When these costs are the same

28+48x=59+44.90x\\3.1x=31\\x=10\ hours

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Answer: 16 double rooms and 10 single rooms were rented.

Step-by-step explanation:

Let x represent the number of double rooms that were rented.

Let y represent the number of single rooms that were rented.

The total number of rooms rented in a day is 26. It means that

x + y = 26

A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that

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Substituting x = 26 - y into equation 1, it becomes

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