A 55 gallon barrel is filled with a mix of Oil and Water.  Oil weighs 6 pounds per gallon, water weighs 8 pounds per gallon.  Graph equations that describes the relationship of the gallons of oil in the barrel and the total weight of the contents.  Start by defining a couple of relationships:  1.  gallons of Water and gallons of Oil will add up to 55 gallons:  W+O=55  -or - O=55-W 2.  The weight of the oil is 6 pounds times the number of gallons of Oil. (6 pounds per gallon) 3.  The weight of the water is 8 pounds times the number of gallons of Water. (8 pounds per gallon) 4.  The total weight in Pounds of the contents will be relationships 2 and 3 added together:  P=(O*6) + (W*8)  -or-  O=(P-W*8)/6   If the barrel weighs 360 Pounds, how many gallons of water are in the mix?  (Substitute X and Y for O and W and Graph relationships 1 and 4, and where they cross, will be the quantities of oil and water.)

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