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A certain school teaches fourth, fifth, and sixth grades

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by swerve » Thu Oct 03, 2019 1:33 pm
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
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by Jay@ManhattanReview » Thu Oct 03, 2019 9:18 pm
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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by Scott@TargetTestPrep » Sat Oct 05, 2019 3:54 pm
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
Full attendance is 150 x 3 = 450 students.

Because of the blizzard, 0.9 x 150 = 135 fourth graders came to school, (5/6) x 150 = 125 fifth graders came to school, and 150 - 60 = 90 sixth graders came to school. So, 135 + 125 + 90 = 350 students came to school.

Now we can determine what percentage less than full attendance this student attendance is.

(350 - 450)/450 = -100/450 x 100 ≈ -22% = 22% less

Answer: C

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by Scott@TargetTestPrep » Sat Oct 05, 2019 3:54 pm
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
Full attendance is 150 x 3 = 450 students.

Because of the blizzard, 0.9 x 150 = 135 fourth graders came to school, (5/6) x 150 = 125 fifth graders came to school, and 150 - 60 = 90 sixth graders came to school. So, 135 + 125 + 90 = 350 students came to school.

Now we can determine what percentage less than full attendance this student attendance is.

(350 - 450)/450 = -100/450 x 100 ≈ -22% = 22% less

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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