At city high school, the sophomore class has 60 more students than the freshman class. the junior class has 50 fewer students than twice the students in the freshman class. the senior class is three times as large as the freshman class. if there are a total of 1,424 students at the city high school, how many students are in the freshman class?

Question

Renee Bryant

Mathematics

15 May, 02:29

At city high school, the sophomore class has 60 more students than the freshman class. the junior class has 50 fewer students than twice the students in the freshman class. the senior class is three times as large as the freshman class. if there are a total of 1,424 students at the city high school, how many students are in the freshman class?

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Answers (1)

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Byron · Answer 1

S=f+60

J=Fx2-50

Senior=fx3

(f) + (f+60) + (fx2-50) + (fx3) = 1424 (Parenthesis first)

f+f+60+2f-50+3f=1424 (rewrite)

2f+60+2f-50+3f=1424 (combine like variables)

7f+10=1424 (rewrite)

7f=1414 (isolate variable (take away 10 from each side))

1414/7

202=freshman