5.6 Ratios and Rate
Comparing two quantities as a fraction, rates that pair unlike units, unit rates scaled to one, and unit price for comparing package sizes.
79 exercises
5.6 Exercise 1
Before you get started, take this readiness quiz.
Simplify:
If you missed this problem, review the reference.
5.6 Exercise 2
Divide:
If you missed this problem, review the reference.
5.6 Exercise 3
Simplify:
If you missed this problem, review the reference.
5.6 Exercise 4
Write each ratio as a fraction: ⓐ ⓑ
5.6 Exercise 5
Write each ratio as a fraction: ⓐ ⓑ
5.6 Exercise 6
Write each ratio as a fraction: ⓐ ⓑ
5.6 Exercise 7
Write each ratio as a fraction of whole numbers:
- ⓐ
- ⓑ
5.6 Exercise 8
Write each ratio as a fraction: ⓐ ⓑ
5.6 Exercise 9
Write each ratio as a fraction: ⓐ ⓑ
5.6 Exercise 10
Write the ratio of as a fraction.
5.6 Exercise 11
Write each ratio as a fraction:
5.6 Exercise 12
Write each ratio as a fraction:
5.6 Exercise 13
Hector's total cholesterol is mg/dl and his HDL cholesterol is mg/dl. ⓐ Find the ratio of his total cholesterol to his HDL cholesterol. ⓑ Assuming that a ratio less than to is considered good, what would you suggest to Hector?
5.6 Exercise 14
Find the patient's ratio of total cholesterol to HDL cholesterol using the given information.
Total cholesterol is mg/dL and HDL cholesterol is mg/dL.
5.6 Exercise 15
Find the patient’s ratio of total cholesterol to HDL cholesterol using the given information.
Total cholesterol is mg/dL and HDL cholesterol is mg/dL.
5.6 Exercise 16
The Americans with Disabilities Act (ADA) Guidelines for wheel chair ramps require a maximum vertical rise of inch for every foot of horizontal run. What is the ratio of the rise to the run?
5.6 Exercise 17
Find the ratio of the first length to the second length: inches to foot.
5.6 Exercise 18
Find the ratio of the first length to the second length: foot to inches.
5.6 Exercise 19
Bob drove his car miles in hours. Write this rate as a fraction.
5.6 Exercise 20
Write the rate as a fraction: miles in hours.
5.6 Exercise 21
Write the rate as a fraction: miles in hours.
5.6 Exercise 22
Anita was paid last week for working What is Anita’s hourly pay rate?
5.6 Exercise 23
Find the unit rate: for hours.
5.6 Exercise 24
Find the unit rate: for hours.
5.6 Exercise 25
Sven drives his car miles, using gallons of gasoline. How many miles per gallon does his car get?
5.6 Exercise 26
Find the unit rate: miles to gallons of gas.
5.6 Exercise 27
Find the unit rate: miles to gallons of gas.
5.6 Exercise 28
The grocery store charges for a case of bottles of water. What is the unit price?
5.6 Exercise 29
Find the unit price. Round your answer to the nearest cent if necessary.
of juice boxes for
5.6 Exercise 30
Find the unit price. Round your answer to the nearest cent if necessary.
of bottles of ice tea for
5.6 Exercise 31
Paul is shopping for laundry detergent. At the grocery store, the liquid detergent is priced at for loads of laundry and the same brand of powder detergent is priced at for loads.
Which detergent has the lowest cost per load?
5.6 Exercise 32
Find each unit price and then determine the better buy. Round to the nearest cent if necessary.
Brand A Storage Bags, for count, or Brand B Storage Bags, for count
5.6 Exercise 33
Find each unit price and then determine the better buy. Round to the nearest cent if necessary.
Brand C Chicken Noodle Soup, for ounces, or Brand D Chicken Noodle Soup, for ounces
5.6 Exercise 34
Translate the word phrase into an algebraic expression:
- ⓐ miles per hours
- ⓑ students to teachers
- ⓒ dollars for hours
5.6 Exercise 35
Translate the word phrase into an algebraic expression.
ⓐ miles per hours ⓑ parents to students ⓒ dollars for minutes
5.6 Exercise 36
Translate the word phrase into an algebraic expression.
ⓐ miles per hours ⓑ students to buses ⓒ dollars for hours
5.6 Exercise 37
Write each ratio as a fraction.
to
5.6 Exercise 39
Write each ratio as a fraction.
to
5.6 Exercise 41
Write each ratio as a fraction.
to
5.6 Exercise 43
Write each ratio as a fraction.
to
5.6 Exercise 45
Write each ratio as a fraction.
to
5.6 Exercise 47
Write each ratio as a fraction.
to
5.6 Exercise 49
Write each ratio as a fraction.
to
5.6 Exercise 51
Write each ratio as a fraction.
to
5.6 Exercise 53
Write each ratio as a fraction.
to
5.6 Exercise 55
Write each ratio as a fraction.
ounces to ounces
5.6 Exercise 57
Write each ratio as a fraction.
feet to feet
5.6 Exercise 59
Write each ratio as a fraction.
milligrams to milligrams
5.6 Exercise 61
Write each ratio as a fraction.
total cholesterol of to HDL cholesterol of
5.6 Exercise 63
Write each ratio as a fraction.
inches to foot
5.6 Exercise 65
Write each rate as a fraction.
calories per ounces
5.6 Exercise 67
Write each rate as a fraction.
pounds per square inches
5.6 Exercise 69
Write each rate as a fraction.
miles in hours
5.6 Exercise 71
Write each rate as a fraction.
for hours
5.6 Exercise 73
Find the unit rate. Round to two decimal places, if necessary.
calories per ounces
5.6 Exercise 75
Find the unit rate. Round to two decimal places, if necessary.
pounds per square inches
5.6 Exercise 77
Find the unit rate. Round to two decimal places, if necessary.
miles in hours
5.6 Exercise 79
Find the unit rate. Round to two decimal places, if necessary.
for hours
5.6 Exercise 81
Find the unit rate. Round to two decimal places, if necessary.
miles on gallons of gas
5.6 Exercise 83
Find the unit rate. Round to two decimal places, if necessary.
pounds in weeks
5.6 Exercise 85
Find the unit rate. Round to two decimal places, if necessary.
beats in minute
5.6 Exercise 87
Find the unit rate. Round to two decimal places, if necessary.
The bindery at a printing plant assembles magazines in hours. How many magazines are assembled in one hour?
5.6 Exercise 89
Find the unit price. Round to the nearest cent.
Soap bars at for
5.6 Exercise 91
Find the unit price. Round to the nearest cent.
Women’s sports socks at pairs for
5.6 Exercise 93
Find the unit price. Round to the nearest cent.
Snack packs of cookies at for
5.6 Exercise 95
Find the unit price. Round to the nearest cent.
CD-RW discs at for
5.6 Exercise 97
Find the unit price. Round to the nearest cent.
The grocery store has a special on macaroni and cheese. The price is for boxes. How much does each box cost?
5.6 Exercise 99
Find each unit price and then identify the better buy. Round to three decimal places.
Mouthwash, size for or size for
5.6 Exercise 101
Find each unit price and then identify the better buy. Round to three decimal places.
Breakfast cereal, ounces for or ounces for
5.6 Exercise 103
Find each unit price and then identify the better buy. Round to three decimal places.
Ketchup, regular bottle for or squeeze bottle for
5.6 Exercise 105
Find each unit price and then identify the better buy. Round to three decimal places.
Cheese for lb. block or for lb. block
5.6 Exercise 107
Translate the English phrase into an algebraic expression.
miles per hours
5.6 Exercise 109
Translate the English phrase into an algebraic expression.
for lbs.
5.6 Exercise 111
Translate the English phrase into an algebraic expression.
calories in ounces
5.6 Exercise 113
Translate the English phrase into an algebraic expression.
the ratio of and
5.6 Exercise 115
One elementary school in Ohio has students and teachers. Write the student-to-teacher ratio as a unit rate.
5.6 Exercise 117
A popular fast food burger weighs ounces and contains calories, grams of fat, grams of carbohydrates, and 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.
5.6 Exercise 119
Would you prefer the ratio of your income to your friend’s income to be or Explain your reasoning.
5.6 Exercise 121
Kathryn ate a cup of frozen yogurt and then went for a swim. The frozen yogurt had calories. Swimming burns calories per hour. For how many minutes should Kathryn swim to burn off the calories in the frozen yogurt? Explain your reasoning.
Adapted from Prealgebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Prealgebra 2e. Imported at revision 77a933c.