Question

Making Medications Most medications are mixtures or solutions of one or more substances. A lot of the calculations on these can be simple enough, using proportions (see for example (http://screencast-o- matic.com/watch/c2nXnCnleC), while others require a bit more algebra, such as using systems of equations (see for example http://www.ck12.org/algebra/Mixture-Problems/rwa/Alcohol- Solutions-in-Nursing). Activity Activity: Following the same process shown in the second example link provided above on mixture problems (http://www.ck12.org/algebra/Mixture-Problems/rwa/Alcohol-Solutions-in-Nursing), please set up a system of linear equations representing the following problem and solve it for the two unknowns. If a nurse has two alcohol solutions, the first (A), a 30% alcohol solution, and the second (B), a 60% alcohol solution, but needs 20 liters of a 40% alcohol solution, how much of each of these two solutions (A & B) is needed? Please show your work.

Answer 1

Date Page No Q = let the solution A be a litres solution B = (20-x) litres According to the question, 30% of x + 60% of (20-x) = 40 % Of 20 30 n t 60 x (20-4) 40 x 20 loo loo 100 - > 32 + 12 - 6x lo - 32 -4 12 - 40 3 So, Solution A = 40/3 litres solution B = 20-40 20 litres 3 3

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