The Don't
22-11-2001, 09:32:AM
In a darts competition, Karl scored 147 more than Pat and three times as much as Gwen. If their combined score came to 336, find their individual scores.
I hate maths.
Please help me.
:rolleyes: Algebra
Phil the Leeds fan
22-11-2001, 12:36:PM
Ok, had to think about this one.
let
Karl = K
Pat = P
Gwen = g
Then from the question
k = p + 147
k = 3g
336 = k + p + g ==> k = 336 - p - g
Therefore:-
3g = p + 147 ...eq1 and 3g = 336 - p - g ==> 4g = 336 - p ...eq2
multiply to make them equal (eq1 by 4 and eq2 by 3):-
12g = 4p + 588 and 12g = 1008 - 3p
this means that:-
4p + 588 = 1008 - 3p
7p = 1008 - 588 = 420
p = 420/7 = 60
therefore:-
K = p + 147 = 60 + 147 = 207
G = k/3 = 207/3 = 69
Check:-
207 + 69 + 60 = 336 Yep, this is right.