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
A comparison that has a denominator of 1
What is the unknown quantity?
5280:1 🡪 n:4
21,120
The ratio of hockey cards to baseball cards in Wayne’s collection is 7 to 3. If there are 100 hockey and baseball cards in the collection, how many are hockey cards?
There are 70 hockey cards
The table below shows the prices at two different stores for ketchup. Which store has the better buy?
Item Fran's Food Diane's Deli
Ketchup $3.69 for 14oz $2.29 for 12oz
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
Scale the following ratio up or down to determine the unknown quantity.
20:5 🡪 4:n
1
The ratio of win to loss is 5:4 for a sports team. If the team played 90 games, how many games did the team win?
The team won 50 games
The table below shows the prices at two different stores for cereal. Which store has the better buy?
Item Fran's Food Diane's Deli
Cereal $3.36 for 16oz $5.52 for 24oz
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?
$0.80
$0.90
$0.05
$0.08
$0.08
Scale the following ratio up or down to determine the unknown quantity. Include units in your answer.
10,800sec/3hrs = 3600sec/?
1 hour
In a survey, 5 out of 6 nutritionists recommended hot oatmeal for breakfast. If 300 nutritionists were surveyed, how many recommended hot oatmeal?
250 nutritionists recommended oatmeal
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
Jose and Angel are each making snack mix. Jose’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?
Jose’s
Ethan earns $540 for working 3 ten-hour shifts at work. What is his hourly wage?
$18 per hour
$20 per hour
$300 per hour
$80 per hour
$18 per hour
The table below shows how much Ava charges to babysit.
Hours: |0.5 | | 1| | 1.5| | 2 |
Charge:|3.25| |13.00|
How much would Adamari charge for 7 hours?
$45.50
The length-to-width ratio of a rectangle is 17:14. Find the length of a rectangle of width 98 cm
119 cm
The table below shows the prices at two different stores for apples. Which store has the better buy?
Item Fran's Food Diane's Deli
Apples $3.80 for 10 $0.86 for 4
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.
Turtle Distance Time
Snapping Turtle 4 miles 2.3 hours
Sea Turtle 6 miles 3.1 hours
Tortoise 3 miles 1.1 hours
Which turtle runs the fastest?
The Tortoise
Ms. Pawliuk is making paella for the teacher potluck. The dish is made of 5 parts rice and 1 part chicken. If she makes 18 cups of paella, how many cups of rice does she need for her recipe?
15 cups
A truck needs 29L of fuel to travel 377 km. Can a truck travel 117km with 10L of fuel?
Yes. The truck needs 9L of fuel to travel 117km
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
Ms. Lasgana 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?
7.5 bowls