Unit Rate
Which of the following best describes a unit rate?
A ratio that compares two quantities that are measured in different units
An equation that states that two ratios are equal
A comparison that has a denominator of 1
Ratios that represent the same part-to-part relationship or the same part-to-whole relationship
3-A comparison that has a denominator of 1
What is the unknown quantity?
5280 ft. ?
______ = _______
1 mile 4 miles
21,120 feet
Convert 6 yards to feet. Remember that 1 yard = 3 feet.
18 feet
Fran's Foods sells ketchup at the price of $3.69 for 14 ounces. Diane's Deli sells ketchup for $2.29 for 12 ounces. Which store has the better buy?
Diane's Deli
There are 12 gallons of water used after 4 showers. How many showers can happen with 216 gallons of water?
72 showers
An 8 pound bag of oranges costs $4.95. Calculate the unit rate. Round to the nearest penny.
$0.62
What is the unknown quantity?
20 qt. 4 qt.
_____ = ______
5 gallons. ?
1 gallon
The average man weighs 105 kilograms. Maria wants to find out how many pounds that is. Set up the conversion multiplication problem. You do NOT need to solve it.
1 kilogram ≈ 2.2 pounds
105 kilograms x 2.2 pounds
_____________
1 kilogram
Fran's Foods sells cereal at $3.36 for 16 ounces. Diane's Deli sells cereal at $5.52 for 24 ounces. Which store has the better buy?
Fran's Foods
You purchase a dozen roses for $42. Each rose cost the same amount. How much will you pay for 7 roses at the same price per rose?
$24.50
A 14 pack of limes costs $1.12.
What is the unit cost?
$0.08
What is the missing quantity?
10,800 seconds 3,600 seconds
_______________ = _____________________
3 hours ?
1 hour
Ms. Leonard purchased 40 inches of string for students to use as belts when they forget theirs at home. 15 inches were left over at the end of Monday. About how many centimeters of string was used on Monday?
(1 inch is approximately 2.54 centimeters)
63.5 cm
Which of the following has the LEAST cost per ounce?
A. 12 ounces of peanut butter for $1.44
B. 32 ounces of trail mix for $6.80
C. 15 ounces of apples for $1.50
D. 20 ounces of avocados for $3.60
C: 15 ounces of apples for $1.50
Jose and Angel are each making snack mix. Josue’s recipe calls for 7 parts pretzels to 3 parts peanuts. Angel’s recipe calls for 6 parts pretzels to 2 parts peanuts. Which recipe has a higher concentration of peanuts? Explain your reasoning.
Jose's--you can scale up the ratio and find the common denominator.
Camp counselors earn $540 for working 3 ten-hour shifts at camp. What is their hourly wage?
$18 per hour
Adamari charges $13 for 2 hours of babysitting. How much should she charge for 7 hours, using the same rate?
$45.50
What steps can you use to change 13 feet to centimeters? (think: what do you multiply or divide?)
1 in. is about 2.54 cm.
Multiply by 13 by 12 and then multiply by 2.54
Fran's Foods sells apples at $3.80 for 10. Diane's Deli sells them at $0.86 for 4. Which store has the better buy?
Diane's Deli
There are 4 grape juice boxes in each variety pack of 10 juice boxes. How many are NOT grape juice boxes in a container of 35 juices?
21
The table below shows data about the worlds fastest turtles.
Snapping turtle: 4 miles in 2.3 hours
Sea Turtle: 6 miles in 3.1 hours
Tortoise: 3 miles in 1.1 hours
Which turtle moves the fastest?
The tortoise
The length of a car measures 20 feet. What is the length of a model car if the scale factor is 1 inch: 2.5 feet?
8 inches
A typewriter can type for 63 days without stopping. Javier wanted to figure out how many seconds of typing it is and did the following steps:
Step 1: 63(24) = 1,512 hours
Step 2: 1,512(60) = 90,720 minutes
Step 3: 90,720/60 = 1,512 seconds
Which step did he make a mistake? What should he have done?
Step 3: He should have multiplied by 60 instead of divide.
Box A of green tea contains 8 tea bags and costs $1.12. Box B of green tea contains 18 tea bags and costs $1.98. Which box has the least cost per bag?
Box B: $0.11 per bag
Ms. Lasagana is making spaghetti. She uses 1½ can of tomato paste for every 3 bowls of spaghetti. She has 3¾ cans of tomato paste in her pantry. How many bowls of spaghetti can she make?
7 1/2 bowls of spaghetti