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A Genesse High School, the Sophomore class has 60 more students than the Freshmen class. The junior class has 50 fewer students than twice the students than twice the students in the Freshmen class. The senior class is three times as large as the freshmen class. If there are a total of 1,427 students at Genesse High School how many students are in the Freshmen class?

Respuesta :

1427 = (F) (+ F + 60) (2F - 50) (+ 3F)
Each pair of brackets represents one of the classes - F meaning Freshmen Class. It has been split into brackets for demonstrational purposes - nothing is being multiplied.
F is an unknown number and each other class size is based off of that so we put it in algebraic terms in order to work it out.
1 - Freshmen Class
2 - Sophomore Class (Freshmen Class + 60 more students)
3 - Junior Class ( Twice the size of the Freshmen Class - 50 students)
4 - Senior Class (Three times the size of the Freshmen Class)

All this can be simplified to 7F + 10 = 1427
1427 - 10 = 1417
1417/7 = 202.428....

Is there a mistake in the question?

Following the question with 202 as the answer - the number 1424 is reached
If increased to 203 - 1431 is reached.
The answer shouldn't include half a person.

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