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?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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?       Log On


   

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) About Me  (Show Source):
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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

%2850v%2B40u%29%2F500=46 and u%2Bv=500

Simplify the first equation, and then solve the system.