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Unit Rates Unit 12 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.

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Presentation on theme: "Unit Rates Unit 12 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."— Presentation transcript:

1 Unit Rates Unit 12 Lesson 3

2 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 1.As a fraction 2.As two numbers separated by a colon 3.As two numbers separated by the word to

3 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 = 5656 = 5:6 = 5 to 6

4 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 = 3737

5 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. 15 pounds 12 trees = 5 pounds 4 trees

6 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 260 miles 8 hours =32.5 miles/hour

7 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

8 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 cents 3 cans = 32.7 cents/can 167 cents 5 cans = 33.4 cents/can 3 cans for $0.98 is the better price

9 Coke 2 liter bottles 4 for $5 How much per liter? How much per bottle? Gatorade 8 pack for $5.99 16 oz to 20 oz bottles How much per bottle? How much per oz (for each size)?

10 Ruffles Potato Chips 2 bags for $6 16.5 to 20 oz. How much per oz for each size bag? Breyers Ice Cream Buy one get one free $5.79 each 1.75 qt. Containers How much per qt?

11 Safeway Select Detergent 300 oz. $10.99 What is the Unit Price? Wisk Laundry Detergent 100 oz. $4.99 What is the Unit Price?

12 “Finding the Better Buy” is determining which size, store, or deal will give you the most product for your money We use Unit Prices to compare product sizes to find the better buy We also use Unit Prices to determine which store or deal will give us the better buy

13 Dixie plates $2.49 24 count Unit Price (per plate)? Hefty plates 2 for $4.00 50 count (each pkg.) Unit Price (per plate)?

14 Practice Pages 390-391 #1-38 odd


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