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101 A Conversion Example

101 A Conversion Example. 8/29/08. We only had the opportunity to go over one simple example of unit conversion in class on Friday (29 th ). The following is a more involved, less obvious, conversion.

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101 A Conversion Example

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  1. 101 AConversion Example 8/29/08

  2. We only had the opportunity to go over one simple example of unit conversion in class on Friday (29th). The following is a more involved, less obvious, conversion. Yes, I would like you to use the ‘train track’ method. Part of my job is to teach you to think logically, this is part of it.

  3. The situation • Suppose you wanted to have a party, and, being a good host, you want to make sure that you have enough drinks for everyone. Since you are on a limited college budget, you’ve decided to make Kool-Aid (yes, just – plain – Kool-Aid). • Here’s the question: How much money are you going to need to spend on Kool-Aid packets?

  4. First, you need your given facts (or assumptions. • 1 packet of Kool-Aid costs (=) $0.25 • 1 packet makes 1 gallon • Each person plans to have 2 drinks • Each drink is 16 ounces We also need our starting point. In this case we’ll start with how many people will be coming to the party. We’ll say 20.

  5. Given Info: 1 packet = $0.25 1 packet = 1 gal 1 person = 2 drinks 1 drink = 16 oz Other needed facts 1 cup = 8 oz 1 gal = 16 cups Setting up the Conversion 20 people 2 drinks 1 person Find the fact that lets you get rid of your first unit (so, the original unit should appear in the denominator). Remember, we want to get to money, take a moment to think about your process. Start with the given. The denominator is blank (it often is)

  6. Given Info: 1 packet = $0.25 1 packet = 1 gal 1 person = 2 drinks 1 drink = 16 oz Continuing the Conversion 20 people 2 drinks 16 oz 1 cup 1 gal 1 packet $0.25 1 party  1 person 1 drink 8 oz 16 cup 1 gal 1 packet Continue using the given information, alternating the units from the top to the bottom. Keep in mind where you want to be (money) so you know when to stop. • Other needed facts • 1 cup = 8 oz • 1 gal = 16 cups

  7. Simplify 20 people 2 drinks 16 oz 1 cup 1 gal 1 packet $0.25 1 party  1 person 1 drink 8 oz 16 cup 1 gal 1 packet • Divide out all units possible.

  8. Simplify 5 20 people 2 drinks 16 oz 1 cup 1 gal 1 packet $0.25 1 party  1 person 1 drink 8 oz 16 cup 1 gal 1 packet • Reduce the numbers 4

  9. Finish 5 20 people 2 drinks 16 oz 1 cup 1 gal 1 packet $0.25 1 party  1 person 1 drink 8 oz 16 cup 1 gal 1 packet • Collect all terms and numbers across the top and across the bottom: (5)($0.25) Multiply as needed (5)($0.25) = $1.25 4

  10. Answer • So, given the original assumptions, if 20 people come to the party, you will have to spend $1.25 on Kool-aid packets. • The benefit of this method is that if suddenly your guest list changes, it is easy to update your calculations.

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