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03 Oct 2024, 22:32
Kudos
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
75% (01:24) correct
25% (00:31) wrong based on 4 sessions
History
Date
Time
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Not Attempted Yet
In the winter, 2/3 of the cardinal sightings, 1/2 of the junco sightings, and 1/4 of the sparrow sightings were in January. What fraction of the total number of sightings of these three bird species in the winter were in January?
A. 1/4
B. 1/3
C. 1/2
D. 2/3
E. 3/4
Attachment:
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12 Feb 2025, 08:48
Kudos
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OE
The total number of sightings of cardinals, juncos, and sparrows in the winter was 30 + 12 + 20, or 62. In the question, you are given that 2/3 of the 30 cardinal sightings, 1/2 of the 12 junco sightings, and 1/4 of the 20 sparrow sightings were in January. Therefore the number of sightings of these three bird species in January was \(\frac{2}{3}(30)+\frac{1}{2}(12) +\frac{1}{4}(20)\), or 31, which accounted for 31/62, or 1/2, of the total number of sightings of these three bird species in the winter.
Thus the correct answer is Choice C.
The total number of sightings of cardinals, juncos, and sparrows in the winter was 30 + 12 + 20, or 62. In the question, you are given that 2/3 of the 30 cardinal sightings, 1/2 of the 12 junco sightings, and 1/4 of the 20 sparrow sightings were in January. Therefore the number of sightings of these three bird species in January was \(\frac{2}{3}(30)+\frac{1}{2}(12) +\frac{1}{4}(20)\), or 31, which accounted for 31/62, or 1/2, of the total number of sightings of these three bird species in the winter.
Thus the correct answer is Choice C.
