SOLUTION: Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 8 liters of synthetic oil. In order to make 936 liters of Petrol

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 8 liters of synthetic oil. In order to make 936 liters of Petrol      Log On


   

Question 923639: Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 8 liters of synthetic oil. In order to make 936 liters of Petrol oil, how many liters of synthetic oil are needed?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( natural oil ) / ( synthetic oil ) = +5%2F8+
Let +x+ = liters of synthetic oil needed
+936+-+x+ = liters of natural oil needed
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+5%2F8+=+%28+936+-+x+%29+%2F+x+
Multiply both sides by +8x+
+5x+=+8%2A%28+936+-+x+%29+
+5x+=+7488+-+8x+
++13x+=+7488+
+x+=+576+
576 liters of synthetic oil are needed
check:
+5%2F8+=+%28+936+-+x+%29+%2F+x+
+5%2F8+=+%28+936+-+576+%29+%2F+576+
+5%2F8+=+360%2F576+
+.625+=+.625+
OK