美国大联盟每日练习-Day11

行程问题:
At the end of each day, the amount of water in a magic cup is twice what it was at the beginning of the day. If the cup is full at the end of 2017th day, then it was 1/4 full at the end of the ? day
A) 504th B) 505th C) 2015th D) 2016th
参考答案:A
解析:本题与昨天第三题相似,但需要注意每一天晚上杯子里的水是早上的两倍,如果第2017天晚上杯子满了,求第多少天杯子里的水是四分之一?本题有两种做法,第一种反推。第2017天晚上满了,那么第2016天晚上应该是二分之一,第2015天是四分之一;第二种列方程,设第n天是四分之一,那么x乘以22017等于1。X乘以2n等于1/4,求解n=2015
My final score in a competition is the average of my scores on 5 rounds. To get a final score of 88 after getting 84, 80 and 92 on the first 3 rounds, what must be my average score for the last 2 rounds?
A) 88 B) 99 C)92 D)96
参考答案:C
解析:比赛共5轮,最终成绩为5轮成绩的平均分。前三轮比赛成绩分别为84,80,92,如果最终成绩为88,求最后两轮的平均成绩。列方程求解。设最后两轮平均成绩为x,2x+84+80+92=88×5,x=92
Ted, Rick and Sam painted a wall together. Ted painted 80% more of the wall than Sam painted. Sam painted 40% less than Rick. Ted painted ___ of the amount that Rick painted.
A) 102% B)108% C) 120% D)140%
参考答案:B
解析:三个人一起刷墙。Ted比Sam多刷80%,Sam比Rick少刷40%,求Ted刷的墙是Rick的多少?设Rick刷了x,则Sam刷了0.6x,Ted刷了1.8乘以0.6x等于1.08x,1.08x除以x等于1.08。

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