anonymous
  • anonymous
Anthony wants to make 6 gallons of a 34% alcohol solution by mixing together 24% alcohol solution and a 64% alcohol solution. How many of each solution must he use.
Mathematics
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anonymous
  • anonymous
Anthony wants to make 6 gallons of a 34% alcohol solution by mixing together 24% alcohol solution and a 64% alcohol solution. How many of each solution must he use.
Mathematics
chestercat
  • chestercat
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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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kropot72
  • kropot72
Let a be the required amount of 24% alcohol solution. Let b be the required amount of 64% alcohol solution. Now we can write: a + b = 6 .......................(1) The amount of alcohol in 6 gallons of 34% alcohol solution is given by: 6 * 0.34 = 2.04 ..............(2) Therefore we can write another equation based on the alcohol content in the three different alcohol solutions: 0.24a + 0.64b = 2.04 ......(3) Equations (1) and (3) are a pair of simultaneous equations which can be solved to find the values of a and b.
anonymous
  • anonymous
Thank you for the help
anonymous
  • anonymous
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anonymous
  • anonymous
Haha satellite73
kropot72
  • kropot72
You're welcome :)

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