<PRE><B>Question 998527</B>
 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/m}}} = the original cost for each member
:
original cost - 5 more member cost = 5000
{{{225000/m}}} - {{{225000/((m+5))}}} = 5000
simplify, divide by 5000
{{{45/m}}} - {{{45/((m+5))}}} = 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
-----------------------
Cost dif: $4808
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