swerve wrote:A certain school teaches fourth, fifth, and sixth grades only, with 150 students in each grade. During one day of a blizzard, 10% of the fourth-grade students, 1/6 of the fifth-grade students, and 60 of the sixth-grade students do not attend school. The student attendance on that day is approximately what percent less than full attendance?
A. 11%
B. 16%
C. 22%
D. 31%
E. 33%
The OA is C
Source: Princeton Review
Given that there are 150 students in each of the fourth, fifth, and sixth grades, the full attendance = 3*150 = 450.
Number of fourth-grade students who do not attend school due to blizzard = 10% of 150 = 15;
Number of fifth-grade students who do not attend school due to blizzard = 1/6 of 150 = 25;
Number of fourth-grade students who do not attend school due to blizzard = 60;
Total number of students who do not attend school due to blizzard = 15 + 25 + 60 = 100
Thus, the student attendance on that day is ~(100/450)*100% = 22 percent less than full attendance
The correct answer:
C
Hope this helps!
-Jay
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