It is given in the question that:
The local citizen's group sold raffle tickets and made $430. This was 3 times the amount of Money that the winner reecived.
And the amount received by the winner is represented by w in the question .
So $430 is three times of w, that is
[tex] 430 = 3w [/tex]
And that's the required equation that could be used to find the amount, w, reecived by the winner .