Carpenter Work

Carpenter Work
Electrician problem: An electrician, a carpenter and plumber are hired to work in a home. The electrician?

earns $ 24 an hour, the carpenter earns $ 21.50 an hour, and the plumber makes $ 25 an hour. The first day at work, worked a total of 18 hours and scored a total of $ 425. The carpenter worked two hours that the electrician did. Find the number of hours that each of these people worked on the first day. Define a variable or variables, write an equation or a system of equations, solve and answer with words. Help

Let x, y and z represent the number of hours the electrician, carpenter and plumber worked respectively. 24x 21.5 and 25 z = 425 x + y + z = 18 x =- 2 (the carpenter, and spent two more hours to the electrician, x. So, x =- 2) Establish a matrix and use the calculator or the method of Gauss-Jordan elimination. Opto by the calculator. 24 … 21.5 … 25 … 425 1 ….. 1 …….. 1 ….. January 18 ……- 1 …… 0 ……- 2 It's matrix can be used to find the solution. reduced form for items that are: 1 ….. …… 0 0 4 0 ….. ….. ….. 1 …… 0 6 0. …. 0 …… 1 ….. 8 Therefore, x = 4, y = z = 6 and 8 or 4 hours worked Electrician Carpenter Plumber worked 6 hours worked 8 hours

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