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?

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) (Show Source): You can put this solution on YOUR website!
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?
.
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%

RELATED QUESTIONS
A 400 gram solution made up of 40% sugar must be added to a 200 gram solution. What... (answered by drk)

A 400 grams solution made up 40% sugar must be added to a 200 grams solution. what should (answered by josmiceli)

a solution is made up of 40 grams sugar and 200 grams of water. how many grams of sugar... (answered by dabanfield)

300 gms of sugar solution contains 40% sugar. How much sugar should be added to make it... (answered by richwmiller)

300 gms of sugar solution contains 40% sugar. How much sugar should be added to make it... (answered by Earlsdon)

How many liters of a 58% sugar solution must be added to 14 L of a 40% sugar solution to... (answered by josgarithmetic)

how many liters of a 58% sugar solution must be added to 14L of a 40% sugar solution to... (answered by ewatrrr)

To a sugar solution of 3 liters containing 40% sugar one liter of water is added. The... (answered by alicealc)

To increase the sugar concentration of a solution from 15% to 40%, how many ounces of... (answered by ewatrrr)