SOLUTION: A 400g solution made up of 40% sugar must be added to a 2oog solution. What should be the percentage of sugar in 200g of solution in order to produce a 38% sugar solution?

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Question 253040: A 400g solution made up of 40% sugar must be added to a 2oog solution. What should be the percentage of sugar in 200g of solution in order to produce a 38% sugar solution?
Answer by nerdybill(7384) About Me  (Show Source):
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A 400g solution made up of 40% sugar must be added to a 2oog solution. What should be the percentage of sugar in 200g of solution in order to produce a 38% sugar solution?
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Let x = percentage of sugar in 200g solution
then
200x + .40(400) = .38(400+200)
200x + .40(400) = .38(600)
200x + 160 = 228
200x = 228-160
200x = 68
x = .34
or
x = 34%