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Topic: Very difficult problem with mixtures
Replies: 1   Last Post: Nov 22, 2004 8:52 PM

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Posts: 1
Registered: 1/25/05
Very difficult problem with mixtures
Posted: Nov 22, 2004 5:36 PM
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Can anyone help me with this problem?

Toothpaste in the Basement

Elana mixes the tootpastes in large tanks in her basement after
school. Both flavors are made from only four ingredients, which we’ll
call A, B, C, and D to preserve Elana’s trade secrets. Ingredients A,
B, and D are pumped into Tank 1 and mixed to make Candy Madness, which
requires 2 gallons of B and 3 gallons of D for every gallon of A.
Two-thirds of this mixture are drained and packaged, but one-third is
pumped into Tank 2 where it is mixed with other ingredients to make
Maple Sugar Supreme. This second recipe requires three times the
amount of A used in Candy Madness, and it is flavored with 2 gallons
of C for every 3 gallons of A.

If Elana’s process produces 21 gallons of Maple Sugar Supreme per
hour, how many gallons of Candy Madness are produced per hour?

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