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

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) (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
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.
RELATED QUESTIONS
Please help me to solve this problem. A certain mine yields low-grade oil shale... (answered by jorel555)

Each day a mining company crushes 18,000 Mg of shale-oil rock, some of it 72 L/Mg and the (answered by ikleyn)

Each day a mining company crushes 18,000 mg of shale-oil rock, some of it 72 mg/L and the (answered by ikleyn)

Each day a mining company crushes 18,000 mg of shale-oil rock, some of it 72 L/mg and the (answered by ikleyn)

Each day a mining company crushes 18,000 mg of shale-oil rock, some of it 72 L/mg and the (answered by josmiceli,ikleyn)

Copperfield Mining Company owns two mines, each of which produces three grades of ore... (answered by Theo)

38. Copperfield Mining Company owns two mines, each of which produces three grades of... (answered by ikleyn)

A barrel of oil is extracted from shale at a cost of $51, and then transported to and... (answered by josgarithmetic)

A small petroleum company owns two refineries. Refinery 1 costs $20,000 per day to... (answered by Theo)