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A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12 % iodine and another that is 37 %. How many liters of each should a druggist mix together

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CrazyMoosenidn

Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

0.12x+0.37y = 4

x + y = 25

Multiplying the bottom equation by 0.12, we have

0.12x + 0.12y = 3

Subtracting, we have

0.12x+0.37y=4

-

0.12x + 0.12y = 3

= 0.25y = 1

= y = 4

= x = 25 - 4 = 21

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