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Mouthwash, 50.7-ounce size for $6.99 or 33.8-ounce size for $4.79

The 50.7-ounce size costs $0.138 per ounce. The 33.8-ounce size costs $0.142 per ounce. The 50.7-ounce size is the better buy.

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Toothpaste, 6 ounce size for $3.19 or 7.8-ounce size for $5.19

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Breakfast cereal, 18 ounces for $3.99 or 14 ounces for $3.29

The 18-ounce size costs $0.222 per ounce. The 14-ounce size costs $0.235 per ounce. The 18-ounce size is a better buy.

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Breakfast Cereal, 10.7 ounces for $2.69 or 14.8 ounces for $3.69

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Ketchup, 40-ounce regular bottle for $2.99 or 64-ounce squeeze bottle for $4.39

The regular bottle costs $0.075 per ounce. The squeeze bottle costs $0.069 per ounce. The squeeze bottle is a better buy.

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Mayonnaise 15-ounce regular bottle for $3.49 or 22-ounce squeeze bottle for $4.99

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Cheese $6.49 for 1 lb. block or $3.39 for 1 2 lb. block

The half-pound block costs $6.78/lb, so the 1-lb. block is a better buy.

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Candy $10.99 for a 1 lb. bag or $2.89 for 1 4 lb. of loose candy

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Translate Phrases to Expressions with Fractions

In the following exercises, translate the English phrase into an algebraic expression.

793 miles per p hours

793 miles p hours

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$3 for 0.5 lbs.

$3 0.5 lbs .

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105 calories in x ounces

105 calories x ounces

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400 minutes for m dollars

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the ratio of y and 5 x

y 5 x

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Everyday math

One elementary school in Ohio has 684 students and 45 teachers. Write the student-to-teacher ratio as a unit rate.

15.2 students per teacher

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If the average American produces about 1,600 pounds of paper trash per year (365 days). How many pounds of paper trash does the average American produce each day? (Round to the nearest tenth of a pound.)

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A popular fast food burger weighs 7.5 ounces and contains 540 calories, 29 grams of fat, 43 grams of carbohydrates, and 25 grams of protein. Find the unit rate of calories per ounce grams of fat per ounce grams of carbohydrates per ounce grams of protein per ounce. Round to two decimal places.

  1. 72 calories/ounce
  2. 3.87 grams of fat/ounce
  3. 5.73 grams carbs/once
  4. 3.33 grams protein/ounce

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A 16-ounce chocolate mocha coffee with whipped cream contains 470 calories, 18 grams of fat, 63 grams of carbohydrates, and 15 grams of protein. Find the unit rate of calories per ounce grams of fat per ounce grams of carbohydrates per ounce grams of protein per ounce.

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Writing exercises

Would you prefer the ratio of your income to your friend’s income to be 3/1 or 1/3 ? Explain your reasoning.

Answers will vary.

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The parking lot at the airport charges $0.75 for every 15 minutes. How much does it cost to park for 1 hour? Explain how you got your answer to part . Was your reasoning based on the unit cost or did you use another method?

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Kathryn ate a 4-ounce cup of frozen yogurt and then went for a swim. The frozen yogurt had 115 calories. Swimming burns 422 calories per hour. For how many minutes should Kathryn swim to burn off the calories in the frozen yogurt? Explain your reasoning.

Answers will vary.

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Mollie had a 16-ounce cappuccino at her neighborhood coffee shop. The cappuccino had 110 calories. If Mollie walks for one hour, she burns 246 calories. For how many minutes must Mollie walk to burn off the calories in the cappuccino? Explain your reasoning.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

After reviewing this checklist, what will you do to become confident for all objectives?

Practice Key Terms 4

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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