SOLUTION: a mountain resort that featured skiing in the winter was partially staffed by college students in the summer. One summer there were 3 times as many students employed as there were

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Question 331149: a mountain resort that featured skiing in the winter was partially staffed by college students in the summer. One summer there were 3 times as many students employed as there were year-round employees. When September came, 40 of the students were back to school and 30 nonstudents were hired for the winter. if there were then twice as many non students as students, how many people staffed the resort in winter?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let employed be x
students be y
y=3x..........................1
..
(y-40)=2(x+30)
y-40 =2x+60
y-2x=60+40
y-2x=100......................2
plug value of y in equation 2
3x-2x=100
x= 100 employed
students = 300