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Michael received an oil change for his car.The shop charged him the ba
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07 Mar 2024, 23:48
07 Mar 2024, 23:48
Expert Reply
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Question Stats:
40% (03:39) correct
60% (03:20) wrong based on 10 sessions
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Michael received an oil change for his car.The shop charged him the base price of the oil change plus a 4.5% sales tax and a 3.5% convenience fee, each of which were ap4tied to the base price of the oil change. Michael gave the cashier $30 dollars and received the exact change back, which was less than $6.00. Which of the following statements below must be true?
Indicate all statements that are true.
A. The base price of the oil change was more than $23.50
B. The base price of the oil change was less than $28.20
C. The sum of the sales tax and convenience fee was less than $2.46
Indicate all statements that are true.
A. The base price of the oil change was more than $23.50
B. The base price of the oil change was less than $28.20
C. The sum of the sales tax and convenience fee was less than $2.46
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: Michael received an oil change for his car.The shop charged him the ba
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05 May 2024, 02:30
05 May 2024, 02:30
Expert Reply
Michael received an oil change for his car.The shop charged him the base price of the oil change plus a 4.5% sales tax and a 3.5% convenience fee, each of which were applied to the base price of the oil change.
Translated
b+b*0.45+b*0.35=b*1.08
Michael gave the cashier $30 dollars and received the exact change back, which was less than $6.00
Translated
30-1.08b<6
Solve
b>22.22
The base price is at least 22.23 (minimum value) so A is not true
Base price maximum value
1.08b<30
b< 27.77
B is true
fees <27.77*0.08
fees < 2.22
C is also true
Translated
b+b*0.45+b*0.35=b*1.08
Michael gave the cashier $30 dollars and received the exact change back, which was less than $6.00
Translated
30-1.08b<6
Solve
b>22.22
The base price is at least 22.23 (minimum value) so A is not true
Base price maximum value
1.08b<30
b< 27.77
B is true
fees <27.77*0.08
fees < 2.22
C is also true
gmatclubot
Re: Michael received an oil change for his car.The shop charged him the ba [#permalink]
05 May 2024, 02:30
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