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09 May 2021, 19:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (02:53) correct
33%
(03:21)
wrong
based on 286
sessions
History
Date
Time
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Not Attempted Yet
Papayaya, a popular soft drink, contains only four ingredients. Soda water comprise 4/7 of Papayaya and natural lemon juice makes 1/3 of Papayaya. The amounts of sugar and papaya puree in Papayaya are equal. Due to a malfunction, the mixing machine mixes double the regular amount of lemon juice and three times the regular amount of papaya puree. If no other changes were made to the relative quantities of the ingredients, what is the fractional portion of soda water in the drink that comes out of the malfunctioning machine?
A. 7/30
B. 7/21
C. 2/5
D. 12/29
E. 4/7
A. 7/30
B. 7/21
C. 2/5
D. 12/29
E. 4/7
15 May 2021, 03:00
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Bunuel
Given that Papayaya contains:
\(\frac{4}{7}=\frac{12}{21}\) of soda water;
\(\frac{1}{3}=\frac{7}{21}\) of lemon juice;
\(\frac{1}{21}\) of sugar: \(\frac{1-(\frac{12}{21}+\frac{7}{21})}{2}\);
\(\frac{1}{21}\) of papaya puree: \(\frac{1-(\frac{12}{21}+\frac{7}{21})}{2}\).
So, out of total of 21 units we need 12 units of soda water, 7 units of lemon juice, 1 unit of sugar and 1 unit of papaya puree.
Due to a malfunction, the mixing machine used 7*2=14 units of lemon juice (instead of 7) and 1*3=3 units of papaya puree (instead of 1).
Hence, the fraction of soda water in the final mixture is \(\frac{12}{12+14+3+1}=\frac{12}{30}=\frac{2}{5}\).
Answer: C.
Similar question to practice: https://gmatclub.com/forum/miguel-is-mix ... 09740.html
Hope it helps.
General Discussion
hykhan
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09 May 2021, 19:33
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Step 1 get the LCM. 4/7 soda water and 1/3 lemon juice translates to 12/21 and 7/21. In total that’s 19/21. The sugar and purée are the same quantities so they’re 1/21 each.
Tackle the question in steps
Lemon juice is doubled, so you’re adding 7 more parts to the total. The ratio is now out of 28 instead of 21.
The amount of papaya purée is also tripled, so now instead of 1 part, you’ve added 3 parts. As a result, the ratio is out of 30.
Since none of the other ingredients changed, the fraction of soda water after the malfunction is now 12/30 = 2/5
C
Posted from my mobile device
Tackle the question in steps
Lemon juice is doubled, so you’re adding 7 more parts to the total. The ratio is now out of 28 instead of 21.
The amount of papaya purée is also tripled, so now instead of 1 part, you’ve added 3 parts. As a result, the ratio is out of 30.
Since none of the other ingredients changed, the fraction of soda water after the malfunction is now 12/30 = 2/5
C
Posted from my mobile device
