Problema Solution

A solution of ethyl alcohol is 75% alcohol by weight is to be used as a bactericide. The solutions is to be made by adding water to a 95% ethyl alcohol solution. How many grams of each should be used to prepare 400 grams of the bactericide.

Answer provided by our tutors

Let

x = grams of water

y = grams of 95% ethyl alcohol

x + y = 400

0*x + 0.95*y = 0.75(x + y)

........

click here to see the system of equations solved for x and y

........

x = 84.21 g

y = 315.79 g

84.21 grams of water and 315.79 grams of 95% ethyl alcohol should be used.