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12 Aug 2019, 01:52
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
90% (01:33) correct
10%
(01:50)
wrong
based on 41
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Not Attempted Yet
An auto body shop charges $30.00 for an oil change, oil filter and standard air filter, but $42.00 for an oil change, oil filter and deluxe air filter. If the deluxe air filter costs four times as much as the standard air filter, how much does the standard air filter cost?
(A) $2.00
(B) $4.00
(C) $5.00
(D) $6.00
(E) $8.00
(A) $2.00
(B) $4.00
(C) $5.00
(D) $6.00
(E) $8.00
12 Aug 2019, 02:30
Kudos
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Let oil change cost be x, let cost of oil filter be y, z be cost of standard air filter, and d be cost of deluxe air filter.
Then we can deduce the following equations from the question stem:
30=x+y+z ..............(1)
42=x+y+d ..............(2)
(2)-(1): 12=d-z .......(3)
But we know from the question stem that d=4z
Therefore 12=3z meaning d=4.
The answer is therefore B.
Posted from my mobile device
Then we can deduce the following equations from the question stem:
30=x+y+z ..............(1)
42=x+y+d ..............(2)
(2)-(1): 12=d-z .......(3)
But we know from the question stem that d=4z
Therefore 12=3z meaning d=4.
The answer is therefore B.
Posted from my mobile device
12 Aug 2019, 04:54
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Bunuel
An auto body shop charges $30.00 for an oil change, oil filter and standard air filter, but $42.00 for an oil change, oil filter and deluxe air filter. If the deluxe air filter costs four times as much as the standard air filter, how much does the standard air filter cost?
(A) $2.00
(B) $4.00
(C) $5.00
(D) $6.00
(E) $8.00
(A) $2.00
(B) $4.00
(C) $5.00
(D) $6.00
(E) $8.00
given
a+b+c=30
a+b+4c=42
subtract we get
c=4
IMO B
