# SOLUTION: Please help me solve this word problem: An electrician, a carpenter, and a plumber are hired to work on a house. The electrician earns \$21 per hour, the carpenter \$19.50 per hour

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Please help me solve this word problem: An electrician, a carpenter, and a plumber are hired to work on a house. The electrician earns \$21 per hour, the carpenter \$19.50 per hour      Log On

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 Click here to see ALL problems on Linear-systems Question 146667This question is from textbook : Please help me solve this word problem: An electrician, a carpenter, and a plumber are hired to work on a house. The electrician earns \$21 per hour, the carpenter \$19.50 per hour, and the plumber \$24 per hour. The first day on the job, they worked a total of 21.5 hr and earned a total of \$469.50. If the plumber worked 2 more hours than the carpenter did, how many hours did each work? This question is from textbook Found 2 solutions by scott8148, Alan3354:Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!e+c+p=21.5 21e+19.5c+24p=469.5 p=c+2 substituting __ e+c+(c+2)=21.5 __ e=19.5-2c substituting __ 21(19.5-2c)+19.5c+24(c+2)=469.5 __ (21*19.5)-42c+19.5c+24c+48=469.5 __ 1.5c=12 __ c=8 substituting __ p=(8)+2 __ p=10 substituting __ e+(8)+(10)=21.5 __ e=3.5 Answer by Alan3354(30983)   (Show Source): You can put this solution on YOUR website!E = hours of electrician C = carpenter P = plumber 21E + 19.5C + 24P = 469.5 P = C + 2 E + P + C = 21.5 Substitute E + (C+2) + C = 21.5 E + 2C = 19.5 Sub again 21E + 19.5C + 24(C+2) = 469.5 21E + 43.5C = 421.5 42E + 87C = 843 14E + 29C = 281 E = 19.5 - 2C Sub again for E 14(19.5 - 2C) + 29C = 281 273 - 28C + 29C = 281 C = 8 P = 10 E = 3.5 Check - 8*\$19.50 + 10*\$24 + 3.5*\$21 = \$469.50