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)
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
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.
) = (x + 4) /2
16 = x + 4
x = 12
p = 8
and now to check:
The correct answer is A.