SOLUTION: A chemist mixes hydrochloric acid solution of 50% strength and 40% strength to get 500 kg of hydrochloric acid solution of 46%. How many kilograms of the 50% solution are used?

SOLUTION: A chemist mixes hydrochloric acid solution of 50% strength and 40% strength to get 500 kg of hydrochloric acid solution of 46%. How many kilograms of the 50% solution are used?

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Question 899724: A chemist mixes hydrochloric acid solution of 50% strength and 40% strength to get 500 kg of hydrochloric acid solution of 46%. How many kilograms of the 50% solution are used?
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
If the percents are mass per mass, then form equations:
Let u = mass of the 40% acid in kilograms
Let v = mass of the 50% acid in kilograms

and

Simplify the first equation, and then solve the system.
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