SAT Math Multiple Choice Practice Question 184: Answer and Explanation

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Question: 184

8. Twenty-one percent of the students enrolled in Algebra II earned As for the year, 33 percent earned Bs, 27 percent earned Cs, and 76 students earned Ds. If all Algebra II students earned either an A, B, C, or D for the year, how many students earned Bs?

A. 33
B. 100
C. 108
D. 132
E. 400

Correct Answer: D

Explanation:

D. You can determine what percent of the Algebra II students earned Ds by subtracting all the other percentages from 100%: 100% - 21% - 33% - 27% = 19% of Algebra II students earned Ds. You know that 76 students earned Ds, so 19% = 76 students. You can divide both sides by 19 to find that 1% represents 4 students. To determine how many students earned Bs, simply multiply the percent of students who earned Bs, 33%, by 4: 33 × 4 = 132 students.

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