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peno211
25.06.2019 •
Mathematics
Two cars got an oil change at the same auto shop. the shop charges customers for each quart of oil plus a flat fee for labor. the oil change for one car required 5 quarts of oil and cost $25.10. the oil change for the other car required 7 quarts of oil and cost $29.60. how much is the labor fee and how much is each quart of oil? the labor fee is $ and each quart of oil costs $
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Ответ:
The labor fee = $13.85 and
the cost of each quart of oil = $2.25
Step-by-step explanation:
Let x be the flat fee for labor and y be th cost of each quart of oil.
Then, the verbal models for the cars are:
x + 5y = 25.10 --- (1) and
x + 7y = 29.60 --- (2)
(2) - (1) gives,
2y = 4.50
Divide both sides by 2.
y = 2.25
Substitute in (1), we get,
x + 5(2.25) = 25.10
x + 11.25 = 25.10
x = 25.10 - 11.25
x = 13.85
Hence,
The labor fee = $13.85 and
the cost of each quart of oil = $2.25
Ответ:
empty
Explanation: