SOLUTION: A certain mine yields low-grade oil shale containing 19.0 U.S. gallons of oil per ton of rock, and another mine has shale yielding 30.0 gal./ton. How many tons of each must be sent

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Question 719065: A certain mine yields low-grade oil shale containing 19.0 U.S. gallons of oil per ton of rock, and another mine has shale yielding 30.0 gal./ton. How many tons of each must be sent each day to a processing plant that processes tons of rock per day, so that the overall yield will be 23.0 gal./ton?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
#64 and #65 are really the same exact problem. The description or question is incomplete. What is needed is information about how much total rock. Question asks how many tons of each rock but specification on the question is for only a rate. Not about how much total tons of rock.

If x = tons of lower oil rock and y = tons of higher oil rock, then
%2819x%2B30y%29%2F%28x%2By%29=23 gallons of oil per ton of rock.

Not much more can be done. Maybe get the linear equation simplified but still it has two unknown variables.