Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.
See classesLearn live with an expert or move at your own pace. Every option includes the complete TTP study system.
Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.
with Josh Braslow, 20+ years in test prep
Self-paced EA prep. Study on your schedule.
with
Complete access from day one. Study on your schedule.
Let p=1.lheiannie07 wrote:If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
And there's always good old-fashioned algebra.lheiannie07 wrote:If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
How will i start solving this kind of problem?
OA E
Hi lheiannie07,If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
How will i start solving this kind of problem?
OA E
If the initial price of coffee is p, after week one it's 2p, after week two it’s 4p, after week 3 it’s 8p, and after week 4 it’s 16p.lheiannie07 wrote:If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
Thanks a lot!Scott@TargetTestPrep wrote:If the initial price of coffee is p, after week one it's 2p, after week two it’s 4p, after week 3 it’s 8p, and after week 4 it’s 16p.lheiannie07 wrote:If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
Since the price triples a week later, the new price is (3)(16p), and since it quadruples the following week, it's (4)(3)(16p) = 12*2^4*p .
Answer: E
Thanks a lot!EconomistGMATTutor wrote:Hi lheiannie07,If the price of coffee, p, doubles every week for 4 weeks, triples a week later, and finally quadruples a week after that, which of the following represents the price of coffee at the end of period, in terms of p?
A. 15p
B. 7*8*p
C. 7*2^4*p
D. 3*4*8*p
E. 12*2^4*p
How will i start solving this kind of problem?
OA E
Let's take a look at your question.
The price of the coffee is p. It doubles every week for 4 weeks, therefore,
After the first week the price of coffee = 2p
After the second week the price of coffee = 2(2p) = 2^2 p
After the third week the price of coffee = 2(2^2 p) =2^3 p
After the third week the price of coffee= 2(2^3 p) = 2^4 p
A week later the price of coffee triples, therefore the total price of coffee after a week later = 3(2^4 p)
and finally quadruples a week after that, therefore,
The final price of the coffee = 4 * 3(2^4 p) = 12 (2^4 p)
Therefore, Option D is correct.
Hope it helps.
I am available if you'd like any follow up.
