Roland2rule wrote:Archie, Betty and Coach bought a radio. Archie paid the least amount of money, Coach paid twice as much as Archie, and Betty paid the most. Archie paid seventy dollars less than the difference between what Betty and Coach paid. If Archie had paid twice as much as he did pay, Betty and Coach would have each paid ten dollars less. Which of the following equals the amount Betty paid?
A. 40
B. 90
C. 130
D. 140
E. 150
Since A, B and C each contribute to the total cost, we get:
T =
A + B + C.
If Archie had paid twice as much as he did pay, Betty and Coach would have each paid ten dollars less.
Thus:
T = 2A + (B-10) + (C-10)
T =
2A + B + C - 20.
Since the blue expressions above both represent the total cost, they must be equal:
2A + B + C - 20 = A + B + C
A = 20.
Coach paid twice as much as Archie.
Thus, C = 2A = 2*20 = 40.
Archie paid seventy dollars less than the difference between what Betty and Coach paid.
Thus:
A = (B-C) - 70.
Substituting A=20 and C=40 into A = (B-C) - 70, we get:
20 = B - 40 - 70
130 = B.
The correct answer is
C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
