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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
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
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2015-03-24
95
问题
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?
选项
A、
B、
C、
D、
E、
答案
C
解析
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
, 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.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation
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