A pharmacist has a 6% solution of cough syrup and a 14% solution of the same cough syrup. How many ounces of each must be mixed to make 16 ounces of a 10% solution of cough syrup?
ingredients in constituents = ingredients in final solution
let x be the amount of 6% the amount of 'active' ingredients is 6% of x or .06x
then 16-x is the amount of 14% solution .14(16-x)
added together they must equal the final solution 10% and 16 ounces or .1 (16)
.06x + .14(16-x) = .1(16) solve for 'x' the 6% solution amount...then the 14% amount will be 16 - x