【SAT官方每日一题】7/29/12 Mathematics > Standard Multiple Choice

滚吧肥汤圆UID: 3272378

Read the following SAT test question and then click on a button to select your answer.

Every student who studies art in a certain school receives exactly one of the grades A, B, C, or D. If [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_1.png[/img] of the students receive A’s, [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_2.png[/img]  receive B’s, [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_3.png[/img]  receive C’s, and [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_4.png[/img]  students receive D’s, how many students in the school study art?

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# ^. Z" Z& A; g, g+ i$ V5 Q4 e* \
4 Q1 h! P6 c9 v% VA.  30

B.  60

C.  100

4 Q* b; j2 [4 F4 q9 FD. 200

" z' `( F* P: q# K/ yE.  500
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0 K  w" _2 r) ]/ ?. ?正确答案:D
, x. c0 A, y8 D; b" y1 l$ `
解析:
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& k: A! V8 p( `) _% }The students who receive A’s, B’s, and C’s account for [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_12.png[/img]  of the students, that is, [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_13.png[/img] . This leaves[img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_14.png[/img]   of the students receiving D’s. You know that [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_15.png[/img]  students receive D’s, so [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_16.png[/img]  is [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_17.png[/img]  of the total. This means that the total number of students is[img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_18.png[/img]  times [img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_19.png[/img] , or[img=]http://sat.collegeboard.org/mathmlgen/content/question/QOTD/2012/20120729_20.png[/img]  .
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