Bunuel wrote:
Tough and Tricky questions: Word Problems.
P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share. If D persons cancel their trip thus failing to pay their share, which of the following represents the
additional number of dollars per person that each remaining person must pay in order to still rent the van?
A) Dx
B) x/(P −D)
C) Dx/(P −D)
D) Dx/(P(P −D))
E) x/(P(P −D))
P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share. ORIGINAL cost per person = (total cost)/(number of people paying) =
x/PD persons cancel their trip thus failing to pay their share So, now the number of people paying =
P - DREVISED cost per person = TOTAL cost/(number of people paying)
= x/(
P - D)
Which of the following represents the additional number of dollars per person that each remaining person must pay in order to still rent the van? Answer = (REVISED cost per person) - (ORIGINAL cost per person)
= x/(
P - D) -
x/PCheck the answer choices....not there. It looks like we need to rewrite x/(
P - D) -
x/P as a single term
Take: x/(
P - D) -
x/PGet common denominator: (x)(P)/(P)(P - D) - (x)(P - D)/(P)(P - D)
Expand numerators to get: : (Px)/(P)(P - D) - (Px - Dx)/(P)(P - D)
Combine numerators to get: : [Px - (Px - Dx)]/(P)(P - D)
Simplify numerator to get: : (Dx)/(P)(P - D)
Answer: D
_________________
Brent Hanneson – Creator of gmatprepnow.com
Before you spend another second preparing for the GMAT, check out my article series, Are you doing it wrong?.
You’ll learn what the GMAT actually tests, and why memorizing a ton of formulas actually makes you less effective.