Question

A scientist needs 60 liters of a 40​% acid solution. He currently has a 20 % solution and a 50 % solution. How many liters of each does he need to make the needed 60 liters of 40​% acid​ solution?

Answer 1

percent ---------------- quantity

Acid type I 60.00% ---------------- x liters

acid type II 30.00% ------ 60 - x liters

Mixture 40.00% ---------------- 60

Total 60 liters

60.00% x + 30.00% ( 60 - x ) = 40.00% * 60

60 x + 30 ( 60 - x ) = 2400

60 x + 1800 - 30 x = 2400

60 x - 30 x = 2400 - -1800

30 x = 600

/ 30

x = 20 liters 60.00% Acid type I

40 liters 30.00% acid type II

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