SOLUTION: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member i

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Question 40986This question is from textbook
: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
This question is from textbook

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the students.
EQUATION:
500%2Fx-500%2F%28x%2B5%29=5
500[(x+5)-(x)]=5[(x)(x+5)]
2500=5%28x%5E2%2B5x%29
x%5E2%2B5x-500=0
Factor:
x=-25 x=20
Hence, 20 students attended.
Paul.