Homework Help: Analytic Math( Grade 10)

Posted by Afreesh on Saturday, January 15, 2011 at 12:03am.

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.

Analytic Math( Grade 10) - Henry, Sunday, January 16, 2011 at 6:06pm
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.

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