SOLUTION: A group of students planned a picnic and estimated the expenditure to be 5,000. Five more students joined the group so the expenditure was increased by 1,000, but the average exp

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Question 1137788: A group of students planned a picnic and estimated the expenditure to be
5,000. Five more students joined the group so the expenditure was increased
by 1,000, but the average expenses per student was decreased by -
10.
Find the total number of students who went for the picnic
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The first estimation costing 5000 money units was based on n-5 students.
The actual of students who went costing 5000+1000=6000 money units, was n students.

Avg Price, first estimate
5000%2F%28n-5%29

Avg Price, actual students
6000%2Fn


====
the average expenses per student was decreased by -
10.
====

Not sure why the dash done like that; not clear if it meant as negative sign. Assuming not.

5000%2F%28n-5%29-6000%2Fn=10
-
n%5E2%2B95n-3000=0
.
.
n=%28-95%2Bsqrt%2895%5E2%2B4%2A3000%29%29%2F2

highlight%28n=25%29