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# If powdered drink mix costs c cents per ounce and p pounds of it are p

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If powdered drink mix costs c cents per ounce and p pounds of it are p [#permalink]

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30 Oct 2017, 12:23
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95% (hard)

Question Stats:

43% (01:43) correct 57% (01:57) wrong based on 37 sessions

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If powdered drink mix costs c cents per ounce and p pounds of it are purchased by a supplier who intends to resell it, what will be the total revenue, in dollars, in terms of c and p if all of the drink mix is sold at a price per ounce equivalent to three times what the supplier paid? (16 ounces = 1 pound and 100 cents = 1 dollar)

(A) $$48cp$$

(B) $$\frac{32cp}{100}$$

(C) $$\frac{100(32)}{cp}$$

(D) $$\frac{12cp}{25}$$

(E) $$\frac{25cp}{12}$$
[Reveal] Spoiler: OA

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If powdered drink mix costs c cents per ounce and p pounds of it are p [#permalink]

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30 Oct 2017, 20:24
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Gnpth wrote:
If powdered drink mix costs c cents per ounce and p pounds of it are purchased by a supplier who intends to resell it, what will be the total revenue, in dollars, in terms of c and p if all of the drink mix is sold at a price per ounce equivalent to three times what the supplier paid? (16 ounces = 1 pound and 100 cents = 1 dollar)

(A) $$48cp$$

(B) $$\frac{32cp}{100}$$

(C) $$\frac{100(32)}{cp}$$

(D) $$\frac{12cp}{25}$$

(E) $$\frac{25cp}{12}$$

PROPER method:_
The most important and crucial step is to convert cents per ounce to pounds per dollar
so price c cents per ounce....c cents per $$\frac{1}{16}$$ dollars = 16c cents per dollar = $$\frac{16c}{100}$$ pounds per dollar
so price of p dollars = $$p*\frac{16c}{100}=\frac{4*pc}{25}$$...
THRICE of this cost =$$3*\frac{4*pc}{25} = \frac{12pc}{25}$$

D

SUBSTITUTION

take easy number..
let c be 100 and p be 1....
so he spends c cents per ounce = 100 cents per 1/16 pound or 1600cents per pound = 16 dollars per pound..
and since he buys 1 pound , 16*1 = 16 dollars..

Now are answer should give ans as 16*3=48

check choices

(A) $$48cp.....48*100*1.....NO$$

(B) $$\frac{32cp}{100} = \frac{32*100*1}{100}=32.......no$$

(C) $$\frac{100(32)}{cp}.... \frac{100*32}{100*1}=32....no$$

(D) $$\frac{12cp}{25}=\frac{12*100*1}{25}=12*4=48....yes$$

(E) $$\frac{25cp}{12}.....\frac{25*100*1}{12}.....no$$

D
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If powdered drink mix costs c cents per ounce and p pounds of it are p   [#permalink] 30 Oct 2017, 20:24
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