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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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Difficulty:   75% (hard)

Question Stats: 54% (02:43) correct 46% (02:47) wrong based on 56 sessions

### HideShow timer Statistics 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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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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1
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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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 * $$\frac{4cp}{25}$$ = $$\frac{12cp}{25}$$ 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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