SOLUTION: Mixing a 10 percent solution with a 60 percent solution to get 100 grams of a 50 percent solution. How much of each do i need?

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Question 373603: Mixing a 10 percent solution with a 60 percent solution to get 100 grams of a 50 percent solution. How much of each do i need?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

to get 100 grams of a 50 percent solution...

Let x represent the amount of the 60% solution, (assigning x to the stronger solution)

then (100g - x)would represent the amount of the 10% solution

Mixing the 10 percent solution with the 60 percent solution****

.10(100g - x) + .60x = .50*100g

solving for x

.10*100g - .10x +.60x = .50*100g

.50x = .40*100g

x = 80g, the amount of the 60% solution, 20g of the 10% solution  (100g-80g)



checking our amswer

.10*20g + .60*80g = 2g + 48g = 50g = .50*100g