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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
Question
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 $19.50. The oil change for the other car required 7 quarts of oil and cost $22.00. How much is the labor fee and how much is each quart of oil?
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Mathematics
3 years
2021-08-22T13:11:00+00:00
2021-08-22T13:11:00+00:00 1 Answers
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Answer:
quart of oil = $1.25
labour = $13.25
Step-by-step explanation:
let x = cost of each quart of oil
y = flat fee for labour
two equations can be formed from the question
5x + y = 19.50 equation 1
7x + y = 22 equation 2
subtract equation 1 from 2
2x = 2.5
divide both sides by 2
x = 1.25
substitute for x in equation 1
5(1.25) + y = 19.50
y = 19.50 – 6.25
y = $13.25