SOLUTION: In a darts competition Karl scored 147 more than pat and three times as much as glen. If their combined score came to 336 find their individual scores. I know the answer but n

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a darts competition Karl scored 147 more than pat and three times as much as glen. If their combined score came to 336 find their individual scores. I know the answer but n      Log On


   

Question 926510: In a darts competition Karl scored 147 more than pat and three times as much as glen. If their combined score came to 336 find their individual scores. I know the answer but need to know how to write out the equation I have 336 = P + P + 147 + (P + 147/3).
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be Pat's score and y be Glen's score and z be Karl's score, then we have
1) z = x + 147
2) z = 3y
3) x + y + z = 336
solve 1 and 2 for x and y
x = z - 147
y = z/3
substitute in 3
z-147 + z/3 + z = 336
multiply both sides of = by 3
3z -441 +z +3z = 1008
7z = 1449
z = 207
x = 207 -147 = 60
y = 207 / 3 = 69
Pat's score is 60, Glen's score is 69 and Karl's score is 207