SOLUTION: Please help me with this problem: Only tenth-, eleventh-, and twelfth-grade students attend Washington High School. The ratio of tenth graders to the school’s total student popu

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Question 1009543: Please help me with this problem:
Only tenth-, eleventh-, and twelfth-grade students attend Washington High School. The ratio of tenth graders to the school’s total student population is 86:255, and the ratio of eleventh graders to the school’s total student population is 18:51. If 1 student is chosen at random from the entire school, which grade is that student most likely to be in?
A. Tenth
B. Eleventh
C. Twelfth
D. All grades are equally likely.
E. Cannot be determined from the given information

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
tenth grade=(86/255)(100%)=33.7%
eleventh grade=(18/51)(100%)=35.3%
twelfth grade=100%-(33.7%+35.3%)=100%-69%=31%
ANSWER: One student chosen at random is most
likely in the eleventh grade, because eleventh
grade is the highest percent of the student body.

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