Unit Rate
It takes Savannah 13 minutes to run 2 miles
What's the Unit Rate?
13/2 = 6.5 minutes per mile
Solve this proportion:
x/2 = 10/4
x/2 = 10/4
Cross-Multiply:
x * 4 = 4x
2 * 10 = 20
Divide: 4x = 20
x = 5
What percent of 752 is 25?
Hint: Use only first two decimal places
25/752 = x/100
752 * x = 752x
100 * 25 = 2500
752x = 2500
x = 3.32
Convert 45 feet into yards.
Conversion factor: 3 feet = 1 yard
45 feet/1 * 1 yard/3 feet = 45/3 = 15 yards
21 out of the 40 wings at the school dance were bbq. What percent of wings were bbq?
21/40 = x/100
40 * x = 40x
100 * 21 = 2,100
40x = 2100
x = 52.5%
There are 360 calories in 4 Oreo cookies.
What's the Unit Rate?
360/4 = 90 calories per cookie
Is this proportion proportional?
12/10, 24/18
Non-proportional
12/10 = 1.2
24/18 = 1.33
1.2 does not equal/match 1.33
11 out of the 25 animals at the shelter are dogs. What percent of animals at the shelter are dogs?
11/25 = x/100
Cross-Multiply:
25 * x = 25x
11 * 100 = 1100
Divide: 25x = 1100
x = 44%
How many hours are in 330 minutes?
Conversion Factor: 1 hour = 60 minutes
330 minutes/1 * 1 hour/60 minutes = 330/60 = 5.5 hours
Matthew uses 9 cups of milk to make 6 dozen brownies. At that rate, how many cups of milk would he need to make 12 dozen brownies?
9 cups of milk/6 dozen brownies = x cups of milk/12 dozen brownies
6 * x = 6x
12 * 9 = 108
6x = 108
x = 18 cups of milk
It takes your teacher 16 minutes to grade 5 papers.
What's the Unit Rate?
16/5 = 3.2 papers per minute
Nehemiah makes $21,000 in five months at his new job. At this rate, how much will Nehemiah make in 3 years?
Hint: 3 years = 36 months
$21000/5 months = $ x/36 months
5 * x = 5x
21000 * 36 = 756000
Divide: 5x = 756000
x = $151,200
On a test with 30 questions, Marcus scored a 90%. How many questions did he get correct?
x/30 questions = 90/100
Cross-Multiply:
100 * x = 100x
90 * 30 = 2700
Divide: 100x = 2700
x = 27 questions correct
How many inches are in 11 feet?
Conversion Factor: 1 foot = 12 inches
11 feet/1 = 12 in/1ft = 132/1 = 132 inches
Angie scored 72 points in 8 games. At this rate, how many points would Angie score if she were to play in 20 games?
Hint: Unit Rate * 20
72 points/8 games = 9 points per game
9 points per game * 20 = 180 points
The table below shows how many goals each player scored this season.
Miguel: 40 goals, 8 games. Unit Rate (goals/game):
John: 65 goals, 13 games. Unit Rate (goals/game):
K: 54 goals, 9 games. Unit Rate (goals/game):
Which player had the lowest goals per game (unit rate)?
The correct answer is Miguel because Miguel has the lowest average from the three at 5
Miguel: 40/8 = 5 goals per game
John: 70/13 = 5.38 goals per game
K: 54/9 = 6 goals per game
Destiny is able to run 2 miles in 17 minutes. How long will it take Destiny to run 10 miles?
Hint: Miles/Minutes = Miles/Minutes
2/17 = 10/x
Step One: Cross-Multiply
2 x x = 2x
17 x 10 = 170
2x = 170
x = 85 minutes
23% of 75 is what number?
x/75 = 23/100
Cross-Multiply:
100 * x = 100x
75 * 23 = 1725
Divide: 100x = 1725
x = 17.25
How many seconds are in 15 minutes?
Conversion Factor: 1 minute = 60 seconds
15 minutes/ 1 * 60 seconds/1 minute = 900/1 = 900 seconds
Abigail is able to type 255 words in 5 minutes. At this rate, how many words can she type in 30 minutes?
Hint: Unit Rate * 30
255 words/5 minutes = 51 words per minute
51 words per minute * 30 min = 1,530 words
From 1:00-5:00 PM (4 hours), Dameus made $70 at his job. At this rate, how much will Dameus make at his job in 40 hours?
Hint: Unit Rate x 40
70/4 = $17.50 per hour
$17.50 x 40 = $700
The ratio of cats to dogs at an animal shelter is 5:2. If there are 64 dogs at the shelter, how many cats are there?
5 cats/2 dogs = x cats/64 dogs
Cross-Multiply:
2 * x = 2x
5 * 64 = 320
Divide: 2x = 320
x = 160 cats
On a math test, Damson answered 20 questions correctly and scored an 80%. How many total questions were on the test?
20/x = 80/100
80 * x = 80x
100 * 20 = 2000
80x = 2000
x = 25 total questions
How many seconds are in 40 hours?
Hint: You will have two conversion factors!
60 seconds = 1 minute
60 minutes = 1 hour
Determine which pair of ratios below forms a proportional relationship.
A. 3/5, 6/8
B. 12/6, 18/9
C. 3/7, 5/9
B is the pair that is proportional
12/6 = 2
18/9 = 2
2 = 2