Posted by **HELP HELP HELP MNHS** on Wednesday, January 9, 2013 at 7:39am.

The total outing cost for a group of people amounted to Php 8000. When an additional 4 persons decided to join the outing, the cost per person decreased by 100. How many people actually joined the trip?

- math 1 -
**Reiny**, Wednesday, January 9, 2013 at 8:54am
let number of people originally be n

cost per person = 8000/n

new count = n+4

new cost = 8000/(n+4)

8000/n - (8000/(n+4) = 100

times n(n+4)

8000(n+4) - 8000n = 100n(n+4)

expand after dividing by 100

80n + 320 - 80n = n^2 + 4n

n^2 + 4n - 320 = 0

(n+20)(n-16) = 0

n = 16 or n=-20 , but clearly n > 0

so originally 16 people had signed up, but 4 more joined,

So there were 20 people on the trip

check:

original cost = 8000/16 = 500

new cost = 8000/20 = 400

YUP!

- math 1 -
**HELP HELP HELP MNHS**, Wednesday, January 9, 2013 at 8:58am
thanks Reiny, hope i am as intelligent as you.... :)

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