Abe amodeo, a nuclear physicist, needs 6060 liters of a 6060% acid solution. he currently has a 40 %40% solution and a 70 %70% solution. how many liters of each does he need to make the needed 6060 liters of 6060% acid solution?
Let x = the amount of 50% solution used
Let y = the amount of 70% solution used
Since he needs 60 liters total
x + y = 60
Since he needs 60% acid solution
0.5x + 0.7y = 60 * 0.6
Now we you have two equations, solve the system.
Multiply both sides of the second equation by 2
x + 1.4 y = 72
Subtract the new equation by the first equation
0.4 y = 12
Solve for y
y = 30
Solve for x
x = 30
He needs 30 L of 50% acid solution and 30 L of 70% acid solution
