Logan wants to mix an 18% acid solution with a 45% acid solution to get 16l of a 36% acid solution. how many liters of the 18% solution and how many liters of the 45% solution should be mixed?

Logan needs 5⅓ liters of 18% acid and 10⅔ liters of 45% acid.

Step-by-step explanation:

If x is the liters of 18% acid, and y is the liters of 45% acid, then:

x + y = 16

0.18x + 0.45y = 0.36(16)

Solve the system of equations.  Using substitution:

0.18x + 0.45(16 − x) = 0.36(16)

0.18x + 7.2 − 0.45x = 5.76

1.44 = 0.27x

x = 5⅓

y = 16 − x

y = 10⅔

Logan needs 5⅓ liters of 18% acid and 10⅔ liters of 45% acid.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square