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Updated on: 04 Jan 2013, 05:18
Originally posted by tejhpamarthi on 15 Nov 2010, 07:01.
Last edited by Bunuel on 04 Jan 2013, 05:18, edited 1 time in total.
Last edited by Bunuel on 04 Jan 2013, 05:18, edited 1 time in total.
Renamed the topic and edited the question.
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (02:42) correct
23%
(02:50)
wrong
based on 303
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In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the "sport" formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the "sport" formulation contains 3 ounces of corn syrup, how many ounces of water does it contain?
A. 45
B. 50
C. 55
D. 60
E. 63
A. 45
B. 50
C. 55
D. 60
E. 63
15 Nov 2010, 07:07
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tejhpamarthi
Standard: \(\frac{f}{\frac{c}{w}}=\frac{1}{\frac{12}{30}}\);
Sport: "the ratio of flavoring to corn syrup is three times as great as in the standard" --> \(\frac{F}{C}=3\frac{f}{c}=3*\frac{1}{12}=\frac{1}{4}\) and "the ratio of flavoring to water is half that of the standard formulation" --> \(\frac{F}{W}=\frac{1}{2}*\frac{f}{w}=\frac{1}{2}*\frac{1}{30}=\frac{1}{60}\).
So sport: \(\frac{F}{\frac{C}{W}}=\frac{1}{\frac{4}{60}}\). Now, if \(C=4*\frac{3}{4}=3\) ounces then \(W=60*\frac{3}{4}=45\) ounces.
Or: as \(\frac{F}{\frac{C}{W}}=\frac{1}{\frac{4}{60}}\) then \(\frac{C}{W}=\frac{4}{60}=\frac{1}{15}=\frac{3}{45}\), so if \(C=3\) then \(W=45\).
Answer: A.
General Discussion
15 Nov 2010, 07:11
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should be 45
F:C:W
1:12:30
Sport version:
F:C
3:12
F:W
1:60
OR 3:180
So C:F:W = 12:3:180
C/W = 12/180 = 3 ounces/x ounces
x = 3*180/12 = 45 ounces of water
F:C:W
1:12:30
Sport version:
F:C
3:12
F:W
1:60
OR 3:180
So C:F:W = 12:3:180
C/W = 12/180 = 3 ounces/x ounces
x = 3*180/12 = 45 ounces of water
