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 dollarso 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
SUBSTITUTIONtake 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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54% (02:43) correct 
