SOLUTION: I need help setting up this problem. A prescription requires a cough syrup to contain 2.5% codeine sulfate. A pharmacist filling an order for this prescription has only cough sy

Question 261069: I need help setting up this problem.
A prescription requires a cough syrup to contain 2.5% codeine sulfate. A pharmacist filling an order for this prescription has only cough syrups with 1% codeine sulfate and 3% codeine sulfate,respectively. How many milliters of each of those syrups should be mixed to obtain 1,000 militers of 2.5% codeine sulfate cough syrup, to fill the prescription?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let 1% codeine syrup added to the mixture be x ml
Let 3% codeine syrup added to the mixture be y ml
x+y = 1000 ml---------- 1
(1/100)*x + (3/100)*y = 1000* (2.5/100)
0.01x+0.03y = 25 -----2
Multiply eq. 1 by 0.01 then subtract from eq 2
0.01x+0.01y=10
0.02y = 15
y= 15/0.02 = 750 ml = 3% solution.
250ml = 1% solution.

M Ananth------- mananth@hotmail.com

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