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## A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57% hydrogen per

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A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57% hydrogen peroxide to make the desired solution?

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Mathematics
7 months
2021-07-18T23:16:20+00:00
2021-07-18T23:16:20+00:00 1 Answers
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## Answers ( )

Answer:16 mls of the 75% solution and 20 mls of the 0.57% solution.Step-by-step explanation:Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4…….(1)

x + y = 36………(2)

From equation (2):

y = 36 – x

Substituting this into equation(1):

0.75x + (0.57(36 – x) = 23.4

0.75x + 20.52 – 0.57x = 23.4

0.18x = 23.40 – 20.52 = 2.88

x = 2.88/0.18

x = 16so from equation (2):

y= 36-16 =20.