document.write( "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). \n" ); document.write( "
Algebra.Com's Answer #562288 by rothauserc(4718)\"\" \"About 
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let x be Pat's score and y be Glen's score and z be Karl's score, then we have
\n" ); document.write( "1) z = x + 147
\n" ); document.write( "2) z = 3y
\n" ); document.write( "3) x + y + z = 336
\n" ); document.write( "solve 1 and 2 for x and y
\n" ); document.write( "x = z - 147
\n" ); document.write( "y = z/3
\n" ); document.write( "substitute in 3
\n" ); document.write( "z-147 + z/3 + z = 336
\n" ); document.write( "multiply both sides of = by 3
\n" ); document.write( "3z -441 +z +3z = 1008
\n" ); document.write( "7z = 1449
\n" ); document.write( "z = 207
\n" ); document.write( "x = 207 -147 = 60
\n" ); document.write( "y = 207 / 3 = 69
\n" ); document.write( "Pat's score is 60, Glen's score is 69 and Karl's score is 207\r
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