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05 Feb 2026, 22:31
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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:
25%
(medium)
Question Stats:
80% (02:33) correct
20%
(02:40)
wrong
based on 85
sessions
History
Date
Time
Result
Not Attempted Yet
Of 600 households surveyed, 200 spent at least $80 per month on both cola and juices, 100 spent at least $80 per month on cola but not juices, and for every household that did not spend at least $80 per month on cola or juices, 4 spent at least $80 per month on juices but not cola. How many of the households surveyed spent at least $80 per month on juices but not cola?
A. 60
B. 75
C. 240
D. 300
E. 440
A. 60
B. 75
C. 240
D. 300
E. 440
05 Feb 2026, 22:51
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ExpertsGlobal5
If you ignore the at least $80 a month, the question becomes straightforward.
Total, T = 600
only cola, c=100
both cola and juice, b=200
let only juice be j and neither cola or juice be n. Its given j=4n or n=j/4.
T = c +j + b + n
600 = 100 + j + 200 + j/4
300 = 5j/4 -> j=240.
C.
06 Feb 2026, 00:25
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The problem is best solved by breaking the 600 households into four mutually exclusive regions using a Venn Diagram:
Final Answer:
The number of households that spent on Juice only is 4x = 4(60) = 240.
- Only Cola: 100
- Both Cola & Juice: 200
- None (neither Cola nor Juice): Let this be x
- Only Juice: Given the 1:4 ratio relative to "None," this is 4x
Final Answer:
The number of households that spent on Juice only is 4x = 4(60) = 240.
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