Question

Theodore needs to mix a 30% alcohol solution with a 50% alcohol solution to create 100 milliliters of a 32% solution. How many milliliters of each solution must Theodore use

Answer 1

50 % alcohol solution = 10 millimetres

30 % alcohol solution = 90 millimetres

Explanation:

two equations can be derived from this question

x + y = 100 equation 1

0.3x + 0.5y = 100 x 0.32 = 32

0.3x + 0.5y = 32 equation 2

where :

x = 30% alcohol solution

y = 50% alcohol solution

multiply equation 1 by 0.3

0.3x + 0.3y = 30 equation 3

subtract equation 3 from 2

0.2y = 2

y = 10

substitute for y in equation 1

x + 10 = 100

x = 100 - 10

x = 90