SOLUTION: You want 50 oz of dye that is 27% red. What you have on hand is a dye that is 10% red and another dye that is 65% red. How much of each would you use to get the desired mixture?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: You want 50 oz of dye that is 27% red. What you have on hand is a dye that is 10% red and another dye that is 65% red. How much of each would you use to get the desired mixture?       Log On

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Question 357764: You want 50 oz of dye that is 27% red. What you have on hand is a dye that is 10% red and another dye that is 65% red. How much of each would you use to get the desired mixture?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Let A be the amount of 10% red and B the amount of 65% red.
1.A%2BB=50
.
.
10A%2B65B=27%2850%29
2.10A%2B65B=1350
Multiply eq. 1 by (-10) and add to eq. 2,
-10A-10B%2B10A%2B65B=-500%2B1350
55B=850
highlight%28B=170%2F11%29oz.
Then from eq. 1,
A%2B170%2F11=50
A=550%2F11-170%2F11
highlight%28A=380%2F11%29oz.