Ratios &
Unit Rates
Unit Rates
Write the ratio in simplest form and in 3 ways.
There were 18 cats and 12 dogs at the shelter. What was the ratio of cats to dogs?
3:2 3 to 2
3/2
Does this ratio form a proportion?
16/21 =6/7
NO
On a scale drawing, the scale is 1 inch = 11 ft. Find the actual length for a wall that measures 5 inches.
55 feet
A set of eight books cost $54. What is the price per book?
$6.75
The ratio of teachers to students is 12 to 1. How many teachers would there be for 168 students.
14 teachers.
Write the ratio in simplest form in 3 ways.
There were 24 police officers and 32 firemen. What is the ratio of police officers to firemen?
3:4 3 to 4
3/4
Does this form a proportion?
13/39 = 8/24
YES
On a map, the scale is 1 cm: 22 miles. If Atlanta is 121 miles away from Lawrenceville, how many cm is it on the map?
5.5 cm
A set of 3 candles cost $29.85, what is the price per present?
$9.95
The team's ratio of wins to losses is 5:6. If they won 20 games, how many did they lose?
24 games
If there are 88 keys per piano. Find the number of pianos if there are 440 keys.
5 pianos
Solve.
20/6 = c/12
c = 40
In a scale drawing, the width of the sofa is 2 inches. The actual width of the sofa is 8 feet. What is the scale of the drawing?
1 inch : 4 feet
Find the Better Buy.
16 ounces of crackers for $2.39.
20 ounces of crackers for $3.19
16 ounce box of crackers
$0.15 per oz.
The ratio of apples to oranges is 15:7. If there are 28 oranges, how many apples?
60 apples
There are 12 students per classroom. How many students are in 8 classrooms?
96 students
Solve.
k/17 = 20/68
k = 5
A drawing's scale is 1 inches : 10 feet. A room is 15 feet long. How long is the room on the drawing?
1.5 inches
Find the Better Buy.
48 oz. of juice for $2.07.
32 oz. of juice for $1.64.
48 oz. of juice.
$0.04 per oz.
In the zoo there are 13 tigers and 8 lions. On the preserve there are 91 tigers. How many lions are on the preserve?
56 lions
If a dozen shirts cost $107.88. What is the price per shirt?
$8.99
Solve.
38/x = 2/6
x = 114
The scale on a map is 1 inch : 525 miles. The map distance from Chicago to Tokyo is 12 inches. Find the actual distance.
6,300 miles
Find the Better Buy.
3 lbs. of apples for $1.89.
5 lbs of apples for $3.95.
3 lbs of apples
$0.63 per lb.
In a bag of marbles there are 125 white and 175 red. What is the ratio? 5 white marble : ______ red marbles
7 red marbles.