SOLUTION: Twenty grams of solution P is 10% alcohol and 30 grams of solution is 20% alcohol by mass these two solutions are mixed together, what is the percent of alcohol in the mixture?

Question 1040249: Twenty grams of solution P is 10% alcohol and 30 grams of solution is 20% alcohol by mass these two solutions are mixed together, what is the percent of alcohol in the mixture?
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Twenty grams of solution P is 10% alcohol and 30 grams of solution is 20% alcohol by mass these two solutions are mixed together, what is the percent of alcohol in the mixture?
:
let x = the percent of the final mixture
10(20) + 20(30) = x(20 + 30)
200 + 600 = 50x
800/50 = x
x = 16% is the final mixture
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.
Twenty grams of solution P is 10% alcohol and 30 grams of solution is 20% alcohol by mass these two solutions are mixed together,
what is the percent of alcohol in the mixture?
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The amount of the pure alcohol in 20 grams of 10% solution is 0.1*20 = 2 grams. The amount of the pure alcohol in 30 grams of 20% solution is 0.2*30 = 6 grams. In total, the amount of the pure alcohol in the mixture is 2 + 6 = 8 grams. The mass of the mixture is 20 grams + 30 grams = 50 grams. The concentration of the alcohol in the mixture is = = 16%. Answer. The concentration of the alcohol in the mixture is 16%.

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