At Mundy's Mill High School, the sophomore class has 40 more students that then freshman class. The junior class has 30 fewer than twice the number of students in the freshman class. The senior class is two times as large as the freshman class. If there are a total of 2,214 students at Mundy's Mill High School, how many students are in the freshman class?

Question

Duffy

Mathematics

26 February, 10:10

At Mundy's Mill High School, the sophomore class has 40 more students that then freshman class. The junior class has 30 fewer than twice the number of students in the freshman class. The senior class is two times as large as the freshman class. If there are a total of 2,214 students at Mundy's Mill High School, how many students are in the freshman class?

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Answers (1)

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Giovanna Merritt · Answer 1

ok so since everything is based off the freshmen class lets make freshmen x

freshmen: x

sophomore: x+40

junior: 2x-30

and senior: 2x

add all of them and the equation is

6x+10=2214

then you take away 10 from both sides so the only thing left is 6x=2204

then you divide by 6 and then

x=367.333333

or 367 1/3