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14 Jun 2025, 09:02
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
58% (02:50) correct
42%
(02:59)
wrong
based on 199
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Mayumi invited her colleagues to a party. In preparation, she prepared a bowl of punch that she then divided into half-cup portions. She believes that if 12 people show up, there will be 6 portions left over, and that if 10 people show up, there will be 4 portions left over. If Mayumi prepared fewer than 50 total cups of punch, and she believes that all of her colleagues will drink the same amount, then how many total cups of punch did she prepare?
A) 18
B) 27
C) 30
D) 36
E) 45
A) 18
B) 27
C) 30
D) 36
E) 45
14 Jun 2025, 10:15
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Since it is asked total number of cups of portions, let's assume x cups
And Mayumi prepared half cup portions, so total no of portions is 2x
A=12k+6
A=10m+4
12k+6=10m+4 => 6k+1=5m
This satisfies when k=4 and m=5
Thus A =54
2x =54
x=27
Hence option B
And Mayumi prepared half cup portions, so total no of portions is 2x
A=12k+6
A=10m+4
12k+6=10m+4 => 6k+1=5m
This satisfies when k=4 and m=5
Thus A =54
2x =54
x=27
Hence option B
