Equivalent Ratios
The teachers at a middle school
voted for one of two locations for the
school party. There were 30 votes for
the skating rink and 13 votes for the
bowling alley. What is the ratio of the
number of votes for skating to the
number of votes for bowling?
30:13
Carlos is going on a boat tour. The
boat will travel a total distance of
35 kilometers during the 7-hour
tour. If the boat travels at a constant
speed during the tour, what distance
should the boat travel in 3 hours?
15km
A way to compare two quantities by division
Ratio
At the nearest wholesale store, 3 bags of cereal cost $21.75. Write an equation represents the proportional relationship?
y=7.25x
100 g ≈ ________ oz
3.5
Write a ratio equivalent to the
ratio 7 : 350?
may vary
Julia can make a key chain in 1 minute
35 seconds. At this rate, which is
closest to the amount of time she
will need to make 8 key chains?
12 min
Ratio comparing two amounts of different units
Proportion
Pilar paid $2.40 for 2 cans of dog food at the pet store. Leo visited the same pet store and spent $3.60 on 3 cans of dog food. Write an equation to represent the proportional relationship between cans of dog food, x, and total cost, y.
6 ft = ___________m
1.8
The list below shows the number of
medals that one nation's team won at
the Olympics. What is the ratio of gold
medals to the total number of medals
that the team won?
Gold 34
Silver 30
Bronze 39
34:103
Stefan is baking taquitos for a school
fundraiser. The recipe calls for 21
2 cups
of beans and 31
4 cups of rice. What is
the ratio between cups of beans and
cups of rice?
10:13
Amount for ONE. The constant.
Unit Rate
Sandra signed up for Workout Jazz during the
spring special. Which equation represents
the proportional relationship?
y=16.99x
27km = __________mi
16.8
Write two ratios that are equivalent to
10 : 12?
may vary
A scuba diver is 15.5 feet below the
surface of the water. If the diver
continues to swim downward at a
rate of 2.5 feet per second, what is her
location, in feet, relative to the surface
after 71
2 seconds?
-34.25
An expression or equation showing two rates are equivalent
Proportion
Helena can buy 2 shirts for $25 or 3 shirts for $36. Do these quantities have a proportional relationship? Explain.
No; the ratio of cost to shirts is not equivalent.
57 gal = ________L
216
A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks. What is the ratio of boxes of socks to boxes of shoes?
26:57
A family drives 4 1/2 miles in 1/10 of an
hour. How many miles will they drive
in 3/4 hour?
33.75
Ratios that are equal, multiply or divide to determine the value
equivalent ratio
In a florist shop, the ratio of roses to tulips is 5 : 3. Complete the table to show the proportional relationship between roses and tulips.
Roses:35
Tulips: ____
21
The science class is raising monarch caterpillars. One of the caterpillars weighs 2.3 ounces. About how many grams does the caterpillars weigh?
65.2 grams