SOLUTION: A chemist working on a flu vaccine needs to mix a 10% sodium iodine solution with a 60%sodium iodine to obtain 50 milliliters of a 30% sodium iodine solution. How many milliliters

Question 332687: A chemist working on a flu vaccine needs to mix a 10% sodium iodine solution with a 60%sodium iodine to obtain 50 milliliters of a 30% sodium iodine solution. How many milliliters of the 10% solution and of the 60% solution should be mixed?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A chemist working on a flu vaccine needs to mix a 10% sodium iodine solution
with a 60%sodium iodine to obtain 50 milliliters of a 30% sodium iodine solution.
:
How many milliliters of the 10% solution and of the 60% solution should be mixed?
:
Let x = amt of 60% solution required
The total result is given as 50 ml, therefore
(50-x) = amt of 10% solution required
:
Write an "amt of sodium iodine" equation in decimal form:
.60x + .10(50-x) = .30(50)
:
.6x + 5 - .1x = 15
:
.6x - .1x = 15 - 5
:
.5x = 10
x =
x = 20 ml of 60% solution
then
50 - 20 = 30 ml of 10% solution
:
:
Check solution
.6(20) + .1(30) = .3(50)
12 + 3 = 15
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