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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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New post 30 Oct 2017, 12:23
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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) \(\frac{25cp}{12}\)

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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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New post 30 Oct 2017, 20:24
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]

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New post 19 Aug 2018, 11:39
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Bunuel 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) \(\frac{3200}{cp}\)

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

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


Total revenue=3*Paid amount by supplier
Unit cost if the material=c cents per ounce=\(\frac{c}{100}\) $/ounce=\(\frac{16c}{100}\) $/pound
Total no of units of the material=p pounds

So, Paid amount by supplier=unit cost* no of units=\(\frac{16c}{100}\) $/pound * p pounds=\(\frac{4cp}{25}\)$

So, Total revenue=3*\(\frac{4cp}{25}\)=\(\frac{12cp}{25}\)$

Ans. (D)
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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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New post 03 Nov 2018, 04:26
Bunuel 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) \(\frac{3200}{cp}\)

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

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



1 cent = \(\frac{1}{100}\) dollars
1 ounce =\(\frac{1}{16}\) pounds


\(\frac{c \ \ cents}{1 \ \ ounce} = \frac{c *\frac{1}{100} dollars }{\frac{1}{16} pound} = \frac{4c}{25}\) \(\frac{dollars}{pound}\)

cost per unit \(\frac{4c}{25}\)

Total number of pounds sold = p

Total revenenu 3 * \(\frac{4cp}{25}\) = \(\frac{12cp}{25}\)
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If powdered drink mix costs c cents per ounce and p pounds of it are p   [#permalink] 03 Nov 2018, 04:26
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