SOLUTION: A chemist has 800g of a dye solution that is 20% of it original strength. How much dye must be added to increase the strength to 50%? Please solve this question using two variab

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Question 1026517: A chemist has 800g of a dye solution that is 20% of it original strength. How much dye must be added to increase the strength to 50%?
Please solve this question using two variables.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A chemist has 800g of a dye solution that is 20% of it original strength.
How much dye must be added to increase the strength to 50%?
Please solve this question using two variables.
:
Why would you use two variables, there is only one unknown here
let x = amt of pure dye required
:
A typical mixture equation
x + .20(800) = .50(x+800)
x + 160 = .5x + 400
x - .5x = 400 - 160
.5x = 240
x = 240/.5
x = 480 g of pure dye required