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Real-Life Math

You want to give a vitamin to 1 of your flocks of chickens. The vitamin is in liquid form, in a 5-gallon jug. It is highly concentrated.

The concentration the chickens should get is 1 to 1,800. That is, there should be 1,800 parts water for every part vitamin. Too little, and it won't have an effect. Too much, and the chickens could get sick. Also, the vitamin is expensive, so you don't want to waste any.

You're going to put the vitamin into the water supply. You have a device called a proportioner, or a medicator, that will inject the vitamin solution into the water line. The proportioner injects 1 part solution for every 100 gallons of water that pass through the water line.

Obviously, you're going to have to dilute the vitamin before you put it into the proportioner.

  1. With how much water are you going to mix the 5 gallons of vitamin (before putting it into the proportioner)?

  2. What is the total volume of medicated water you'll end up with?

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