SOLUTION: Members of the Ski Club contributed equally to obtain $1800 for a holiday trip. When 6 members found that they could not go, their contributions were refunded and each remaining m

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Question 174602This question is from textbook Algebra and Trig
: Members of the Ski Club contributed equally to obtain $1800 for a holiday trip. When 6 members found that they could not go, their contributions were refunded and each remaining member then had to pay $10 more to raise the $1800. How many went on the trip? This question is from textbook Algebra and Trig

Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
let x be the original number going on trip and y be the new number of trip goers....and y=x-6

:
multiplied all terms by
:
distributing
:
combining terms
:
divided all terms by 10
:
using the quadratic formula we arrive at x=36 and -30
:
throwing out the negative value
:
original trip goers
:
those who went on trip
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=4356 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 36, -30. Here's your graph:
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