How many liters each of a 40% acid solution...

Question

How many liters each of a 40% acid solution and a 55% acid solution must be used to produce 60 liters of a 45% acid solution?

Answer 1

0.55x + 0.40(60 - x) = 0.45(60)

CAn you solve for x and answer?

Answer 2

40x + 55(60-x) = 60(45)

40x -55x + 3300 = 2700

15x = 600

x = 40 liters of 40%

60-x =20 liters of 55%

mixed to get 60 liters of 45%

40% is within 5% of 45%

55% is within 10% of 45%

10/5 = 2. you need twice as much 40% as 55%. 40= 2(20)

x/(60-x) = 2

x =120-2x

3x =120

x =120/3 = 40 liters of 40%

60-x = 60-40 = 20 liters of 55%

40(40) + 20(55) = 60(45)

1600 + 1100 = 2700

2700 = 2700