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Cheese that costs c cents per ounce costs how many dollars per pound? (16 ounces = 1 pound and 100 cents = 1 dollar)

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Cheese that costs c cents per ounce costs how many dollars per pound? (16 ounces = 1 pound and 100 cents = 1 dollar)

by Vincen » Mon Sep 07, 2020 7:14 am

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Cheese that costs c cents per ounce costs how many dollars per pound? (16 ounces = 1 pound and 100 cents = 1 dollar)

(A) \(\dfrac{4c}{25}\)

(B) \(\dfrac{25c}{4}\)

(C) \(\dfrac{25}{4c}\)

(D) \(\dfrac{c}{1600}\)

(E) \(1,600c\)

Answer: A

Source: Manhattan GMAT
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Re: Cheese that costs c cents per ounce costs how many dollars per pound? (16 ounces = 1 pound and 100 cents = 1 dollar)

by swerve » Mon Sep 07, 2020 1:21 pm
Vincen wrote: ↑
Mon Sep 07, 2020 7:14 am
 Cheese that costs c cents per ounce costs how many dollars per pound? (16 ounces = 1 pound and 100 cents = 1 dollar)

(A) \(\dfrac{4c}{25}\)

(B) \(\dfrac{25c}{4}\)

(C) \(\dfrac{25}{4c}\)

(D) \(\dfrac{c}{1600}\)

(E) \(1,600c\)

Answer: A

Source: Manhattan GMAT
Cheese costs \(C\) cents for \(1\) ounce.

So, for \(16\) ounces (for 1 pound), it costs \(16C\).

Now \(100C = 1\) dollar.

Then \(16C = X\) dollars.

Cross multiplying, gives \(\dfrac{4C}{25}\).

Therefore, A is the answer.
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