Question

QUESTION 27 • 5 POINTS

Marco needs to mix a solution that is 8% iodine with one that is 44% iodine to obtain 200 liters of a solution that is 29%
iodine. Using a system of linear equations, find how many liters of the 8% iodine solution will be required to create the new
solution. Round to the nearest liter.

Answer 1

83 liters

Explanation:

If we call the amount of liters of the 8% iodine solution by x and the amount of liters of the 44% iodine solution by y, we can write the following equations:

x + y = 200

x*0.08 + y*0.44 = 200*0.29

From the first equation, we have that y = 200 - x

Using this value of y in the second equation, we have that:

0.08x + (200 - x)*0.44 = 58

0.08x + 88 - 0.44x = 58

0.36x = 30

x = 30/0.36 = 83.3333 liters

Rounding to nearest liter, we have x = 83 liters