SOLUTION: A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains 80 gal of a solution of 4% ordinary household bleac
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Question 341600: A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains 80 gal of a solution of 4% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 7% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The sterilization tank contains 80 gal of a solution of 4% ordinary household
bleach mixed with pure distilled water.
New research indicates that the concentration of bleach should be 7% for
complete sterilization.
How much of the solution should be drained and replaced with bleach to increase
the bleach content to the recommended level?
;
Let x = amt of original solution removed and amt of pure bleach to be added
:
Amt of bleach equation:
:
.04(80 - x) + x = .07(80)
:
3.2 - .04x + x = 5.6
:
-.04x + 1x = 5.6 - 3.2
:
.96x = 2.4
:
x =
x = 2.5 gal removed and 2.5 gal of bleach added
:
:
Check solution in original equation
.04(80 - 2.5) + 2.5 = .07(80)
.04(77.5) + 2.5 = 5.6
3.1 + 2.5 = 5.6
