anonymous
  • anonymous
The manager of a coffee shop has one type of coffee that sells for $5 per pound and another type that sells for $12 per pound. the manager wishes to mix 90 pounds of the $12 coffee to get a mixture that will sell for $10 per pound. How many pounds of the $5 coffee should be used?
Mathematics
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anonymous
  • anonymous
The manager of a coffee shop has one type of coffee that sells for $5 per pound and another type that sells for $12 per pound. the manager wishes to mix 90 pounds of the $12 coffee to get a mixture that will sell for $10 per pound. How many pounds of the $5 coffee should be used?
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Plz some one help me i have been trying to work this problem forever!!!
anonymous
  • anonymous
so call x the number of pounds of $5 coffee and y the number of pounds of $12 coffee you know that they want x + y = 90 and so you have to figure 5x + 12y = 900 why 900? because they want 90 lbs and for the mix to sell for $10 a pound
anonymous
  • anonymous
the way to do this is by substitution or elimination we can do substitution. so use the first equation and we get y = 90 - x (by subtracting x from both sides) then using this lets substitute into the second to get 5x + 12(90 - x) = 900 then doing some algebra we get 5x + 1080 - 12x = 900 getting the variable on one side we get 180 = 7x solve for x we get 180/7 then back substitute into the first equation we get 180/7 + y = 90 and then you get y = 450/7

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