SOLUTION: 1) How much pure acid must be added to 10 ounces of 40% pure acid to give a mixture of 50% pure acid? 2) How much pure alcohol must be mixed with a mixture containing 20% alcoho

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: 1) How much pure acid must be added to 10 ounces of 40% pure acid to give a mixture of 50% pure acid? 2) How much pure alcohol must be mixed with a mixture containing 20% alcoho      Log On


   

Question 1115622: 1) How much pure acid must be added to 10 ounces of 40% pure acid to give a mixture of 50% pure acid?
2) How much pure alcohol must be mixed with a mixture containing 20% alcohol to have 2 gallons of a mixture with 50% alcohol?
Can you show me the steps with the anwser with them, please!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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1) How much pure acid must be added to 10 ounces of 40% pure acid to give a mixture of 50% pure acid?
2) How much pure alcohol must be mixed with a mixture containing 20% alcohol to have 2 gallons of a mixture with 50% alcohol?
Can you show me the steps with the anwser with them, please!
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(1)
x, ounces of the pure, 100% acid to add
x%2B0.4%2A10=0.5%28x%2B10%29
Solve this for x.


(2)
x, number of gallons of 100% pure alcohol to add
2-x, amount of gallons of the 20% alcohol to add
x%2B0.2%282-x%29=0.5%2A2
Solve for x and evaluate 2-x.

You need to do the algebra and the necessary arithmetic.