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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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

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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Source: Beat The GMAT — Problem Solving | Mon Sep 07, 2020 7:14 am

swerve: Legendary Member; Posts: 2560; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

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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