7.1 Ratios and Proportions

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Presentation transcript:

7.1 Ratios and Proportions A ratio is a comparison of two quantities by division.

Dividing a Quantity Into a Given Ratio Members of the school band are buying pots of tulips and pots of daffodils to sell at their fundraiser. They plan to buy 120 pots of flowers. The ratio number of tulip pots : number of daffodil pots will be 2 : 3. How many pots of each type of flower should they buy? Let 2x = number of tulip pots Let 3x = number of daffodil pots 2x + 3x = 120 5x =120 x = 24 2(24) = 48 3(24) = 72 48 tulip pots, 72 daffodil pots.

Extended Ratio An extended ratio compares three (or more) numbers. Ex. a : b : c

Using Extended Ratios The lengths of the sides of a triangle are in the extended ratio 3 : 5 : 6. The perimeter of the triangle is 98 inches. What is the length of the longest side? 3x + 5x + 6x = 98 14x = 98 x = 7 3(7) = 21 5(7) = 35 6(7) = 42

Proportions An equation that states two ratios are equal is called proportion. The first and last numbers in a proportion are the extremes. The middle two numbers are the means.

Solving a Proportion What is the solution of each proportion?

Properties of Proportions

Writing Equivalent Proportions

More Practice!!!!! Homework – Textbook p. 436 – 437 #10 – 32 even.