23 October, 2013

Carpenter Assistant

A carpenter works at a job for 4 hours while her assistant works for 3 hours. They bill the customer for $122. On another job, the carpenter and her assistant each work for 3 hours and the bill is $102. How much does each make per hour? Let x stand for the carpenter's pay rate and y, the assistant's pay rate. How do I solve this step by step. After looking around, I learned — equation 1: 4x+3y=122 equation 2: 3x+3y=102 y = (102-3x) / 3 y = 34 -x substituting equation 2 in 1: 4x + 3(34-x) = 122 4x + 102 – 3x = 122 x = 20 = carpenter rate per hour 4(20) + 3 y = 122 y = (122 – 80) / 3 y = 14 = rate of assistant


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2 Comments

  1. Jasmine October 22, 2013 at 12:58 am #
    Well if my calculations are not wrong they should each make 34 dollars an hour each.
  2. Lyz Durham541 October 22, 2013 at 7:11 am #
    Its hard to explain but the answer isx=71 dollarsy=51 dollars