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Chapter 1: Problem 64

A class of 84 students had a final grade distribution of 18\(\%\) A's, 25\(\%\) B's, 32\(\%\) C's, 13\(\%\) D's, 12\(\%\) F's. How many students received each grade?

Short Answer

Expert verified
In the class of 84 students: 15 students received A's, 21 students received B's, 27 students received C's, 11 students received D's, and 10 students received F's.

Step by step solution

01

Compute number of students received A's

18\(\%\) of 84 is determined by multiplying \(0.18\) (18\(\%\) in decimal form) by 84. This yields \(0.18 \times 84 = 15.12\). Since the number of students cannot be a decimal, it rounds up to 15.
02

Compute number of students received B's

25\(\%\) of 84 is determined by multiplying \(0.25\) (25\(\%\) in decimal form) by 84. This yields \(0.25 \times 84 = 21\).
03

Compute number of students received C's

32\(\%\) of 84 is determined by multiplying \(0.32\) (32\(\%\) in decimal form) by 84. This yields \(0.32 \times 84 = 26.88\). Since the number of students cannot be a decimal, it rounds up to 27.
04

Compute number of students received D's

13\(\%\) of 84 is determined by multiplying \(0.13\) (13\(\%\) in decimal form) by 84. This yields \(0.13 \times 84 = 10.92\). Since the number of students cannot be a decimal, it rounds up to 11.
05

Compute number of students received F's

12\(\%\) of 84 is determined by multiplying \(0.12\) (12\(\%\) in decimal form) by 84. This yields \(0.12 \times 84 = 10.08\). Since the number of students cannot be a decimal, it rounds up to 10.

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