Asked by Afreesh
A contractor rented a sander for 5h and a polisher for $50. For another job, she rented the sander for 4h and the polisher for 8h. The rental fees for the job totalled $56. Find the hourly rate charged for each tool.
Answers
Answered by
Henry
Sander = X Dollars / hr.
Polisher = Y Dollars/hr
Eq1: 5X + 5Y = 60.
Eq2: 4X + 8Y = 56.
Multiply Eq1 by -4 and Eq2 by 5 and add.
-20X - 20Y = -200.
20X + 40Y = 280.
20Y = 80,
Y = 80 / 20 = 4.
Substitute 4 for Y in Eq1:
5X + 5*4 = 50,
5X + 20 = 50,
5X = 50 - 20 = 30,
X = 30 / 5 = 6.
Polisher = Y Dollars/hr
Eq1: 5X + 5Y = 60.
Eq2: 4X + 8Y = 56.
Multiply Eq1 by -4 and Eq2 by 5 and add.
-20X - 20Y = -200.
20X + 40Y = 280.
20Y = 80,
Y = 80 / 20 = 4.
Substitute 4 for Y in Eq1:
5X + 5*4 = 50,
5X + 20 = 50,
5X = 50 - 20 = 30,
X = 30 / 5 = 6.
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