SOLUTION: The student council of XYZ School needed P225,000 for an annual trip. If five more members joined the group, each member would then save P5000. How many students planned to make

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Question 998527: The student council of XYZ School needed P225,000 for an annual trip. If five more members joined the group, each member would then save P5000. How many students planned to make the trip?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The student council of XYZ School needed P225,000 for an annual trip.
If five more members joined the group, each member would then save P5000.
How many students planned to make the trip?
:
let m = the no. of members making the trip
then
225000%2Fm = the original cost for each member
:
original cost - 5 more member cost = 5000
225000%2Fm - 225000%2F%28%28m%2B5%29%29 = 5000
simplify, divide by 5000
45%2Fm - 45%2F%28%28m%2B5%29%29 = 1
multiply equation by m(m+5), cancel the denominators and you have
45(m+5) - 45m = m(m+5)
45m + 225 - 45m = m^2 + 5m
combine as quadratic equation on the right
0 = m^2 + 5m - 225
no integer solution ???
Approx 13 members
;
:
Comes close
225000/13 = 17308 each
225000/18 = 12500 each
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Cost dif: $4808