This problem requires mixing 5% and 40% solutions to create 10 liters of 20% concentration. Multiple solutions exist. Assuming all combined volume equals 10L with no waste, let x represent the volume of the 40% solution. Therefore, the 5% solution volume is 10L - x. Applying concentration calculations: 10L × 20% = x × 40% + (10 - x) × 5%. Solving leads to: x = (10L × 15%) / 35% = 4.28L, rounded to 4.3L for the 40% solution. The 5% volume is then 10L - 4.3L = 5.7L.
Answer:
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
Step-by-step explanation:
we understand that
The quadratic equation solution formula for the structure
is described as
for this particular equation we recognize
thus
insert values into the equation
therefore
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction