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Updated on: 14 Apr 2026, 03:05
Originally posted by luisdicampo on 13 Apr 2026, 05:15.
Last edited by luisdicampo on 14 Apr 2026, 03:05, edited 1 time in total.
Last edited by luisdicampo on 14 Apr 2026, 03:05, edited 1 time in total.
Kudos
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Deconstructing the Question
Sue's mix has \(30\%\) nuts and \(70\%\) dried fruit.
Jane's mix has \(60\%\) nuts and no dried fruit.
The combined mixture has \(50\%\) nuts.
We use weighted average (alligation) to find the ratio of Sue to Jane, then compute the dried fruit percentage.
Step-by-step
Differences from the mean are
\(60 - 50 = 10\)
\(50 - 30 = 20\)
So the ratio of Sue to Jane is
\(10:20 = 1:2\)
Total parts are \(3\).
Only Sue contributes dried fruit, which is \(70\%\) of her portion.
So dried fruit amount is
\(1 \cdot 70 = 70\)
Total mixture is \(3\) parts.
Percentage of dried fruit is
\(\frac{70}{3} = 23.33\%\)
Answer: B
Sue's mix has \(30\%\) nuts and \(70\%\) dried fruit.
Jane's mix has \(60\%\) nuts and no dried fruit.
The combined mixture has \(50\%\) nuts.
We use weighted average (alligation) to find the ratio of Sue to Jane, then compute the dried fruit percentage.
Step-by-step
Differences from the mean are
\(60 - 50 = 10\)
\(50 - 30 = 20\)
So the ratio of Sue to Jane is
\(10:20 = 1:2\)
Total parts are \(3\).
Only Sue contributes dried fruit, which is \(70\%\) of her portion.
So dried fruit amount is
\(1 \cdot 70 = 70\)
Total mixture is \(3\) parts.
Percentage of dried fruit is
\(\frac{70}{3} = 23.33\%\)
Answer: B
14 Apr 2026, 00:30
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HarveyS
The average of 30% 60% and 60% is 50%, so we can conclude that the weights of the two mixtures are in the ratio 1:2
As for dried fruit, the average of 70% , 0% and 0% is 70/3 %
