Unit Rates
Which of the following best describes a unit rate?
a. A ratio that compares two quantities that are measured in different units.
b. An equation that states the two ratios are equal.
c. A comparison that has a denominator of 1.
d. Ratios that represent the same part-to-part relationship or the same part-to-whole relationship.
C. A comparison that has a denominator of 1.
What is the unknown quantity?
5280 ft. = ?
1 Mile = 4 Miles
21, 120 feet
How many feet are in 6 yards?
18 Feet
The Table below shows the prices at two different stores for ketchup. Which store has the better buy?
Item Fran's Foods Diane's Dell
Ketchup $3.69 for 14 oz. $2.29 for 12 oz.
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. Include units in your answer.
20 quarts = 4 quarts
5 gallons = ?
1 gallon
The average man weighs 105 Kilograms. Maria wants to find out how many pounds that is. Write a proportion that she could use to solve for the number of pounds. Do not solve the proportion.
1 Kilogram = 2.2 pounds
1 Kilogram = 2.2 pounds.
2.2 pounds = X
The Table below shows the prices at two different stores for cereal. Which store has the better buy?
Item Fran's Foods Diane's Deli
Cereal $3.36 for 16 oz. $5.52 for 24 oz.
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 pack of Limes costs $1.12.
What is the Unit Cost?
a. $0.80
b. $0.90
c. $0.05
d. $0.08
D. $0.08
Scale the following ration up or down to determine the unknown quantity. Include units in your answer.
10,800 seconds = 3600 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)
63.50 centimeters
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
Josue 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.
Josue's because I scaled up each ratio to find the common denominator, or because I converted both ratios to percents.
Teachers earn $540 for working 3 ten-hour shifts at school. What is their hourly wage?
a. $18 per hour
b. $20 per hour
c. $300 per hour
d. $80 per hour
A. $18 per hour
The table below shows how much Allison charges to babysit.
Hours 0.5 1 1.5 2 2.5 3 3.5 4
Charge $3.25 ? ? $13 ? ? ? ?
How much would Allison charge for 7 hours?
$45.50
Which step can you use to change 13 feet to centimeters? (1 in. = 2.54 cm.)
F. Divide 13 by 12 and then multiply by 2.54
G. Multiply 13 by 12 and then multiply by 2.54
H. Divide 13 by 12 and then divide by 2.54
J. Multiply 13 by 12 and then divide by 2.54
G
The Table below shows the prices at two different stores for apples. Which store has the better buy?
Item Fran's Foods 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 world's fastest turtles. WHICH TURTLE RUNS THE FASTEST?
Turtle Distance Time
Snapping Turtle 4 miles 2.3 Hours
Sea Turtle 6 miles 3.1 Hours
Tortoise 3 miles 1.1 Hours
The Tortoise
Ms. Greene is making arroz con pollo (chicken rice) for the teacher potluck. The dish is made of 5 parts rice and 1 part chicken. If she makes 18 cups of arroz con pollo, how many cups of rice does she need for her recipe?
15 cups
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 X 24 = 1,512 hours
Step 2: 1,512 X 60 = 90,720 minutes
Step3: 90,720 / 60 = 1,512 seconds
Step 3
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. Lagana is making spaghetti. She uses 1 1/2 cans of tomato paste for every 3 bowls of spaghetti. She has 3 3/4 cans of tomato paste in her pantry. How many bowls of spaghetti can she make?
7.5 bowls