1) The document provides examples of calculating unit rates from word problems involving rates such as cost per item, players per team, etc. 2) It compares unit prices of laundry detergent brands by calculating the cost per ounce for each. Cozy Clean is determined to be a better buy because it costs less per ounce. 3) Another example solves for the number of coaches needed based on the number of players and the player to coach unit rate. It also uses a unit rate to calculate the number of lawns one can mow in a given time.

1. ame ____________________________________ Date __________________
Mrs. Labuski / Mrs. Portsmore Period __________ Unit 7 Lesson 5 Rates
TB 8-1 / OC 5-3
VOCABULARY DEFINITION EXAMPLE
RATE
UNIT RATE
Suppose a bus travels 150 miles in 3 hours. The rate could be written as_________
When the second term of a rate is 1 unit, the rate is a ____________________.
To write as a unit rate, divide each term by 3.
150 miles ÷ 3 hours = miles The unit rate is
3 hours ÷ 3 hours = hour
Calculating Unit Rates
1. Maria pays $60 for 5 music lessons. What is the cost per lesson?
Maria’s music lessons cost $ _________ per lesson.
2. The cost of 3 candles is $19.50. What is the unit price?
The unit price is $_________ per candle.

2. 3. Michael walks 30 meters in 20 seconds. How many meters does Michael walk per second?
Michael walks_________ meters per second
4. A bakery charges $7 for ½dozen muffins. What is the price per dozen?
The muffins cost $_________ per dozen.
5. There are 156 players on 13 teams. How many players are on each team?
_____players per team
6. A package of 36 photographs costs $18. What is the cost per photograph?
$ _____ per photograph

3. Use Unit Rates to Compare Prices
Mrs. Labuski is at the grocery store comparing two brands of laundry detergent. Super Suds
costs $7.68 for a 32-ounce bottle. Cozy Clean costs $9.00 for a 50-ounce bottle.To compare the
costs, Mrs. Labuski must compare prices for equal amounts of detergent. How can she do this?
Super Suds Cozy Clean
Ounces Price ($) Ounces Price ($)
32 7.68 50 9
16 3.84 25
8 5
4 1
2
1
Super Suds costs $__________ per ounce. Cozy Clean costs $__________ per ounce.
Which brand is the better buy? Why?_______________________________________________
_____________________________________________________________________________
Problem-Solving with Unit Rates
In a youth soccer league, each team will have 18 players and 3 coaches. This year, 162 players
signed up to play soccer. How many coaches are needed?
Method 1: Find the unit rate. How many players per coach?
There are _________ players per coach.

4. Method 2: Use equivalent ratios.
The soccer league needs _____ coaches.
Tim can mow 4 lawns in 6 hours. How many lawns can he mow in 15 hours?
Find the unit rate.
How can you use the unit rate to find how many lawns Tim can mow in 15 hours?___________
_____________________________________________________________________________
Tim can mow ________ lawns in 15 hours.
Try this:
On Tuesday, Donovan earned $9 for 2 hours of babysitting. On Saturday, he babysat for the
same family and earned $31.50. How many hours did he babysit on Saturday?
Name ____________________________________ Date __________________

5. Mrs. Labuski / Mrs. Portsmore Period __________ Unit 7 Lesson 5 Rates
TB 8-1 / OC 5-3
VOCABULARY DEFINITION EXAMPLE
A comparison of two quantities that have
RATE
different unitsof measure.
UNIT RATE When the comparison is to one unit.
Suppose a bus travels 150 miles in 3 hours. The rate could be written as
When the second term of a rate is 1 unit, the rate is a unit rate.
To write as a unit rate, divide each term by 3.
150 miles ÷ 3 hours = 50 miles
3 hours ÷ 3 hours = 1 hour The unit rate is
Calculating Unit Rates
1. Maria pays $60 for 5 music lessons. What is the cost per lesson?
Maria’s music lessons cost $12per lesson.
2. The cost of 3 candles is $19.50. What is the unit price?
The unit price is $6.50per candle.
3. Michael walks 30 meters in 20 seconds. How many meters does Michael walk per second?
Michael walks1.5meters per second

6. 4. A bakery charges $7 for ½dozen muffins. What is the price per dozen?
The muffins cost $14per dozen.
5. There are 156 players on 13 teams. How many players are on each team?
156players÷ 13 = 12 players
13 teams ÷ 13 1 team
12 players per team
6. A package of 36 photographs costs $18. What is the cost per photograph?
$18 ÷ 36 = $0.50
36 photographs ÷ 36 1 photograph
$ 0.50 per photograph

7. Use Unit Rates to Compare Prices
Mrs. Labuski is at the grocery store comparing two brands of laundry detergent. Super Suds
costs $7.68 for a 32-ounce bottle. Cozy Clean costs $9.00 for a 50-ounce bottle.To compare the
costs, Mrs. Labuski must compare prices for equal amounts of detergent. How can she do this?
Super Suds Cozy Clean
Ounces Price ($) Ounces Price ($)
32 7.68 50 9
16 3.84 25 4.50
8 1.92 5 0.90
4 0.96 1 0.18
2 0.48
1 0.24
Super Suds costs $0.24per ounce. Cozy Clean costs $0.18per ounce.
Which brand is the better buy? Why?_Cozy Clean is the better buy because it costs less per
ounce.
Problem-Solving with Unit Rates
In a youth soccer league, each team will have 18 players and 3 coaches. This year, 162 players
signed up to play soccer. How many coaches are needed?
Method 1: Find the unit rate. How many players per coach?
Method 2: Use equivalent ratios.

8. The soccer league needs27coaches.
Tim can mow 4 lawns in 6 hours. How many lawns can he mow in 15 hours?
Find the unit rate.
How can you use the unit rate to find how many lawns Tim can mow in 15 hours?___________
Multiply by 15
Tim can mow 10lawns in 15 hours.
Try this:
On Tuesday, Donovan earned $9 for 2 hours of babysitting. On Saturday, he babysat for the
same family and earned $31.50. How many hours did he babysit on Saturday?
$9 = $31.50
2 hours ? hours
$9x3 =$31.50
2 hours x3 7 hours
Donovan babysat for 7 hours on Saturday.