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electrician problem: An electrician, a carpenter, and a plumber are hired to work on a house. The electrician ?
earns $24 per hour, the carpenter earns $21.50 per hour, and the plumber earns $25 per hour. The first day on the job, they worked a total of 18 hours and earned a total of $425. The carpenter worked 2 more hours than the electrician did. Find the number of hours that each of these people worked the first day. Define a variable or variables, write an equation or system of equations, solve, then answer in words.
help??
2 Answers
- Pi R SquaredLv 71 decade agoFavorite Answer
Hi,
x = electrician nours
y = plumber hours
z = carpenter hours
x + y + z = 18
24x + 25y + 21.5z = 425
x - z = -2
I solved this using an augmented 3 x 4 matrix on my calculator.
x = 4, y = 8, z = 6
x = 4 electrician nours
y = 8 plumber hours
z = 6 carpenter hours
I hope that helps!! :-)
- Peter mLv 51 decade ago
The carpenter worked 2 more hours than the electrician did.
Let us have x = the number of hours that the electrician worked
x+2 = the number of hours for the carpenter.
Then y = the number of hours for the plumber
they worked a total of 18 hours :
x + x+2 +y = 18
2x +y = 16
earned a total of $425.
24x + 21.5(x+2) + 25y = 425
45.5x +25y = 382
Above you have two equations in terms of x & y I will leave it to you to finish the problem.
