Problema Solution
A custodian is going to mix a 4% ammonia solution and a 12% ammonia solution to get 1 gallon (128 fluid ounces) of a 11% ammonia solution. How many fluid ounces of the 4% solution and the 12% solution should be used?
Answer provided by our tutors
let
x = fluid ounces of the 4% solution used
y = fluid ounces of the 12% solution used
the solution is 1 gallon = 128 fluid ounces thus
x + y = 128
the new solution is 11% ammonia solution
0.04x + 0.12y = 0.11*128
by solving the system of equations
x + y = 128
0.04x + 0.12y = 0.11*128
we find
x = 16 fluid ounces
y = 112 fluid ounces
click here to see the step by step solution of the system of equations
16 fluid ounces of the 4% solution and 112 fluid ounces of the 12% solution should be used.