SOLUTION: Lubricating oil worth 28 cents/quart is to be mixed with oil worth 33 cents/quart to make up 45 quarts of a mixture to sell at 30 cents/quart. What volume of each grade should be t

Algebra ->  Linear-equations -> SOLUTION: Lubricating oil worth 28 cents/quart is to be mixed with oil worth 33 cents/quart to make up 45 quarts of a mixture to sell at 30 cents/quart. What volume of each grade should be t      Log On


   

Question 936094: Lubricating oil worth 28 cents/quart is to be mixed with oil worth 33 cents/quart to make up 45 quarts of a mixture to sell at 30 cents/quart. What volume of each grade should be taken?
Found 2 solutions by josgarithmetic, TimothyLamb:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This kind of mixture question is very frequently asked, so this lesson is directed for this type:
http://www.algebra.com/my/mixture-price-two-part-both-parts-unknown.lesson?content_action=show_dev

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = quarts of 28 cent oil
y = quarts of 33 cent oil
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x + y = 45
28x + 33y = 30*45
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put the system of linear equations into standard form
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x + y = 45
28x + 33y = 1350
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = quarts of 28 cent oil = 27
y = quarts of 33 cent oil = 18
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