Answer:
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.
