SOLUTION: Im having problems with how to set up the equation(s) for this particular problem. A Pharmacist needs to obtain a 45% alcohol solution. How many ouncs of a 30% alcohol soultion

Question 575233: Im having problems with how to set up the equation(s) for this particular problem.
A Pharmacist needs to obtain a 45% alcohol solution. How many ouncs of a 30% alcohol soultion must be mixed with 40 ounces of an 80% alcohol solution to obtain a 45% alcolol soultion?
Thank you so much
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A Pharmacist needs to obtain a 45% alcohol solution. How many ouncs of a 30% alcohol solution must be mixed with 40 ounces of an 80% alcohol solution to obtain a 45% alcohol solution?
.
Let x = amount (ounces) of 30% solution
then
.30x + .80(40) = .45(x+40)
.30x + 32 = .45x+18
32 = .15x+18
14 = .15x
93.33 ounces = x

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