Problem of the Day There are 3 bags of flour for every 2 bags of sugar in a freight truck. A bag of flour weighs 60 pounds, and a bag of sugar weighs 80.

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Presentation transcript:

Problem of the Day There are 3 bags of flour for every 2 bags of sugar in a freight truck. A bag of flour weighs 60 pounds, and a bag of sugar weighs 80 pounds. Which part of the truck’s cargo is heavier, the flour or the sugar? flour Course Ratios, Rates, and Unit Rates

Course Ratios, Rates, and Unit Rates Rate: 90 miles 3 hours Read as “90 miles per 3 hours.” A rate is a comparison of two quantities that have different units.

Course Ratios, Rates, and Unit Rates Unit rates are rates in which the second(bottom) quantity is 1. To find a unit rate: divide the numerator by the denominator unit rate: 30 miles, 1 hour or 30 mi/h 90 3 = 30 1

Unit price is a unit rate used to compare costs per item. Course Ratios, Rates, and Unit Rates

Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $6.20. Which is the better buy? Additional Example 3A: Finding Unit Prices to Compare Costs Divide the price by the number of pens. price for package number of pens  $ =$0.39 price for package number of pens = $  $0.41 Course Ratios, Rates, and Unit Rates The better buy is the 5-pack for $1.95.

Jamie can buy a 15-oz jar peanut butter for $2.19 or a 20-oz jar for $2.78. Which is the better buy? Additional Example 3B: Finding Unit Prices to Compare Costs  $ = $0.15 = $  $0.14 Course Ratios, Rates, and Unit Rates The better buy is the 20-oz jar for $2.78. price for jar number of ounces price for jar number of ounces Divide the price by the number of ounces.

Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $ Which is the better buy? Try This: Example 3A Course Ratios, Rates, and Unit Rates Divide the price by the number of balls. price for package number of balls  $ =$1.65 price for package number of balls = $  $1.58 The better buy is the 12-pack for $18.95.

Lesson Quiz 1. At a family golf outing, a father drove the ball 285 ft. His daughter drove the ball 95 ft. Express the ratio of the father’s distance to his daughter’s in simplest terms. 2. Find the unit price of 6 stamps for $ Find the unit rate of 8 heartbeats in 6 seconds. 4. What is the better buy, a half dozen carnations for $4.75 or a dozen for $9.24? 5. Which is the better buy, four pens for $5.16 or a ten-pack for $12.90? $0.37 per stamp 3:1 Insert Lesson Title Here  1.3 beats/s a dozen Course Ratios, Rates, and Unit Rates They cost the same.