Meghnasingla wrote:

Hey guys can someone help me with the answer to the question attached. I took this test on status prep and I am not able to understand how to reach to the correct answer.

Here is the question -

If you spend $96 and a book stores sells all of its books for the same price, how much does a book currently cost if you could buy 4 more books if the price were to drop $2?

Correct answer: A)

You chose: B)

A) 6

B) 8

C) 12

D) 16

E) 24

Hi there. The answer you chose (b) WOULD be right if you ignore the last half.

Here are the steps to the problem.

x = Amount of Books Purchased

p = Price of the Books

t = Total Amount spent

With this, you can derive these two equations.

(x)(p) = 96

(p-2)(x+4) = 96

If you foil the bottom equation, you would get this:

px + 4p - 2x - 8 = 96

and since (p)(x) = 96, you plug it in to get:

96 + 4p - 2x - 8 = 96

simplify:

2p - x = 4

single out p to solve for the question:

p = (x + 4) / 2

now, you would plug in the answers.

BUT. remember the

"how much does a book currently cost if you could buy 4 more books if the price were to drop $2?" part of the question? That's telling you that the answer choices are all in the (p-2) format.

If you plug it in, you would have to add 2 to the answer choices.

With A, it fits perfectly.

(6

+2) = (x + 4) /2

16 = x + 4

x = 12

p = 8

and now to check:

(p)(x)=96

(8)(12)=96

The correct answer is A.