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## Math 009 Unit 5 Lesson 3

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**Math 009**Unit 5 Lesson 3**Obj: To write a ratio of two quantities in simplest form**A ratio is a comparison of two quantities that have the same units. A ratio can be written in three different ways • As a fraction • As two numbers separated by a colon • As two numbers separated by the word to**Obj: To write a ratio of two quantities in simplest form**Write the comparison 20 pounds to 24 pounds as a ratio in simplest form using a fraction, a colon and the word, to. 20 pounds 24 pounds 5 6 = = 5:6 = 5 to 6**Obj: To solve application problems involving ratios**A company spends $20,000 a month on television advertising and $15,000 a month on radio advertising. What is the ratio in simplest form of the cost of radio advertising to the total amount spent for advertising? Total amount spent = $35,000 radio advertising total 15,000 dollars 35,000 dollars 3 7 = =**Obj: To write rates**A rate is a comparison of two quantities that have different units • the units are written as part of the rate Example: Write 15 pounds of fertilizer for 12 trees as a rate in simplest form. 5 pounds 4 trees 15 pounds 12 trees =**Obj: To write unit rates**A unit rate is a rate in which the number in the denominator is 1 • to find a unit rate, divide the numerator of the rate by the denominator of the rate Example: Write 260 miles in 8 hours as a unit rate 3 2 .5 260 miles 8 hours = 32.5 miles/hour 8 260 .0 24 2 0 16 4 0 40**Obj: To solve application problems involving rates**A jeweler purchased 5 ounces of gold for $1625. Later, he sold the 5 ounces for $1720. What was his profit per ounce? Total profit = 1720 – 1625 = $95 profit ounce 95 dollars 5 ounces = = 19 dollars/ounce = $19/oz**Obj: To solve application problems involving rates**At one store John can buy 3 cans of corn for $0.98. Another store has the same brand on sale 5 cans for $1.67. Which is the better price? $.98 3 cans $ .327 /can = $1.67 5 cans $ .334 /can = 3 cans for $0.98 is the better price