SOLUTION: Each day a mining company crushes 18,000 mg of shale-oil rock, some of it 72 L/mg and the rest 150 L/mg of oil. How much of each type of rock is needed to produce 120 L/mg?

Algebra ->  Equations -> SOLUTION: Each day a mining company crushes 18,000 mg of shale-oil rock, some of it 72 L/mg and the rest 150 L/mg of oil. How much of each type of rock is needed to produce 120 L/mg?       Log On


   



Question 1111575: Each day a mining company crushes 18,000 mg of shale-oil rock, some of it 72 L/mg and the rest 150 L/mg of oil. How much of each type of rock is needed to produce 120 L/mg?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = mg of 72 L/mg rock needed
Let +b+ = mg of 150 L/mg rock needed
-----------------------------------------
(1) +a+%2B+b+=+18000+
(2) +72a+%2B+150b+=+18000%2A120+
-----------------------------------------
(2) +72a+%2B+150b+=+2160000+
(2) +12a+%2B+25b+=+360000+
Multiply both sides of (1) by +12+ and
subtract (1) from (2)
(2) +12a+%2B+25b+=+360000+
(1) +-12a+-+12b+=+-216000+
--------------------------------
+13b+=+144000+
+b+=+11076.92+
and
(1) +a+=+18000+-+b+
(1) +a+=+18000+-+11076.92+
(1) +a+=+6923.08+
-----------------------------------
6,923.08 mg of 72 L/mg rock
11,076.92 mg of 150 L/mg rock
-----------------------------------
check:
(2) +72a+%2B+150b+=+2160000+
(2) +72%2A6923.08+%2B+150%2A11076.92+=+2160000+
(2) +498461.76+%2B+1661538+=+2160000+
(2) +2159999.76+=+2160000+
close enough
Definitely get a 2nd opinion on this one

Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.
Each day a mining company crushes 18,000 mg of shale-oil rock, some of it 72 L/mg and the rest 150 L/mg of oil.
How much of each type of rock is needed to produce 120 L/mg?
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My opinion is that the condition is  RUBBISH,

the problem is  RUBBISH

and the post is  RUBBISH,  too.


            Since NOBODY knows what are these units  "mg"  and  "L/mg"  to measure the amount of shale-oil rock.


I just expressed my thoughts regarding this text under the link

https://www.algebra.com/algebra/homework/equations/Equations.faq.question.1111568.html

https://www.algebra.com/algebra/homework/equations/Equations.faq.question.1111568.html


            The right place for this post is in the  TRASH  section,  and  NOWHERE ELSE.