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Page Title: Ratio and Proportion
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Ratio and Proportion
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Mathematics Volume 1 of 2
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Linear Equations Summary

Algebra LINEAR EQUATIONS Example 2: If 5 pounds of apples cost 80 cents, how much will 7 pounds cost? Solution: Using  x  for  the  cost  of  7  pounds  of  apples,  the  following  proportion  can  be written. 5  pounds 7  pounds 80  cents x The product of the extremes is (5)(x) = 5x. The product of the means is (7)(80) = 560. Equate these two products and solve the resulting equation. 5x   = 560 5x 5 560 5 x  = 112 The unit of is cents.   Thus, 7 pounds of apples cost 112 cents or $1.12. Example 3: A recipe calls for cups of flour to make servings for 6 people.   How much 11 2 flour should be used to make servings for 4 people? Solution: Using  x  for  the  flour  required  for  4  people,  the  following  proportion  can  be written. 6  people 4  people 11 2 cups x The product of the extremes is (6)(x) = 6x. The product of the means is . (4)  11 2 6 Rev. 0 Page 15 MA-02

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