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Solving Proportions: Key Strategies & Examples

Learn how to solve proportions using property & cross products. Explore practical examples, including word problems with step-by-step solutions. Compare quantities, use distributive property, and calculate cost of products. Homework exercises included.

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Solving Proportions: Key Strategies & Examples

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  1. 5.7 Solving Proportions

  2. Property of Proportions The cross products of a proportion are always equal

  3. Example 1: Alternate Way: you can reduce the fraction first to work with smaller numbers

  4. Example 2:

  5. Example 3: Put binomials in ( ) Use distributive property 2 step equation: to solve add/sub first then mult./divide

  6. Word Problems • Be sure to compare the quantities in the same order • Write out the ratio in words

  7. Example 4 • The local church is making care packages for a shelter. The church can make 8 care packages with 240 food items. How many care packages can they make with 500 food items? 16 care packages

  8. Use the COP to solve problems Steps: 1.) Find the COP or Unit Rate 2.) Multiply the COP by the multiple in the problem

  9. Example 5 • Matthew paid $49.45 for 5 DVD’s at a sale. How much would it cost for 11 DVD’s at the same rate? COP It costs $9.89 for 1 DVD Let C= Cost, D=DVD C=9.89D C=9.89(11) C=$108.79

  10. Homework • Page 221 (10-36) even

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