SOLUTION: a pharmacist wishes to mix solution that is 3% Minoxidil. She has on hand 70 ml of 2% solution and wishes to add some 5% solution to obtain the desired 3% solution. How much 5% so
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-> SOLUTION: a pharmacist wishes to mix solution that is 3% Minoxidil. She has on hand 70 ml of 2% solution and wishes to add some 5% solution to obtain the desired 3% solution. How much 5% so
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Question 202248: a pharmacist wishes to mix solution that is 3% Minoxidil. She has on hand 70 ml of 2% solution and wishes to add some 5% solution to obtain the desired 3% solution. How much 5% solution should she add? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! The amount of Minoxidil in the 2% solution is 70 * .02.
The amount of Minoxidil in the 5% solution that you want to add to make a 3% solution is x * .05.
The amount of Minoxidil in the desired 3% solution is (x + 70) * .03.
The solution is measured in ml which I believe stands for milli-liters.
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Your equation should be:
(.70 * .02) + (x * .05) = (x + 70) * .03
solving this equation yields the following:
(.70 * .02) + (x * .05) = (x * .03) + (70 * .03)
subtract (.70 * .02) from both sides of the equation to get:
(x * .05) = (x * .03) + (70 * .03) - (70 * .02)
subtract (x * .03) from both sides of the equation to get:
(x * .05) - (x * .03) = (70 * .03) - (70 * .02)
remove the common factors from each side of the equation to get:
(x) * (.05 - .03) = (70) * (.03 - .02)
simplify to get:
(x) * (.02) = (70) * (.01)
divide both sides of the equation by (.02) to get:
x = (70 * .01) / (.02)
which becomes:
x = 35 ml
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your answer should be 35 ml of 5% solution are added to 70 milliliters of 2% solution to make 105 ml of 3% solution.
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to prove this answer is correct, substitute the answer in the equation to get:
(70 * .02) + (35 * .05) = (105 * .03)
this equates to:
1.4 + 1.75 = 3.15
which becomes:
3.15 = 3.15
which means the equation is true and the values are correct.
