SOLUTION: a bus is to be chartered for the senior class trip. the basic fare is $9.50 per passenger. If more than 20 people go everyone's fare is reduced by $0.30 for each passenger over th

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Question 414788: a bus is to be chartered for the senior class trip. the basic fare is $9.50 per passenger. If more than 20 people go everyone's fare is reduced by $0.30 for each passenger over this number (20). At least how many people must go to make the fare less than $7.50 per passenger?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n%2B+1 = number of passengers over 20 who
must go in order to make the fare less than $7.50 per passenger
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The fare /passenger gets reduced by exactly 9.5+-+7.5+=+2 dollars
if n passengers above 20 go.
The total number of passenger is 20+%2B+n
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9.5%2A%2820+%2B+n%29+-+.3n%2A%2820+%2B+n%29+=+7.5%2A%2820+%2B+n%29 (normal cost) - (discount) = (desired cost)
9.5+-+.3n+=+7.5
.3n+=+2
n+=+6 (nearest whole number)
n+%2B+1+=+7
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If 26 people go, fare is %289.5+-+.3%2A6%29%2A26+=+7.7%2A26 (fare/person)x(number of people)
If 27 people go fare is %289.5+-+.3%2A7%29%2A27+=+7.4%2A27 (fare/person)x(number of people)
It looks like 27 people must go to make fare less than $7.50 per person