SOLUTION: 1. A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains 100 gallons of a solution of 2% ordinary househo
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Question 9800: 1. A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains 100 gallons of a solution of 2% ordinary household bleach mixed with pure distilled water. New research indicates that the concentration of bleach should be 5% for complete sterilization. How much of the solution should be drained and replaced with bleach to increase the bleach content to the recommended level?
2. A bottle contains 750 milliliters of fruit punch with a concentration of 50% pure fruit juice. Jill drinks 100 milliliters of the punch and then refills the bottle with an equal amount of a cheaper brand of punch. If the concentration of juice in the bottle is now reduced to 48%, what was the concentration in the punch that Jill added?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
1) Original bleach solution is: 100 gallons of 2% concentration. Remove x gallons of 2% concentration and add x gallons of 100% bleach to get 100 gallons of 5% concentration. Let's set up the equation for this: Change percents to decimals.
Simplify and solve for x.
Approximately 3.06 gallons of the original solution should be drained and replaced with bleach to attain the recommended level of concentration of 5%.
2)Original fruit punch is 750 ml of 50% concentration of pure fruit juice. Jill removes 100 ml of the 50% concentration and add 100 ml of x% concentration to get 750 ml of 48% concentration. Change the percents to decimals and set up the equation:
Simplify and solve for x.
0.35 = 35%
The cheaper brand of punch had 35% concentration of pure fruit juice.
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