Ratios
Is the following a part to part or part to whole ratio?:
For every 3 blue cars in the parking lot there are 5 red cars
part to part
Write the following as a unit rate:
It took 5 hours to travel 400 km.
80km/h
60 : 3 = x : 6
Solve for x
x = 120
Is speed an example of a ratio or a rate?
Speed is an example of a rate
Create an example of a part to whole ratio.
example: there are 5 red cars out of 50 cars in the parking lot
A student is looking for a job. Working at Walmart pays $14.50 / h. The student has a friend who works at McDonalds and worked 20 hours last week earning $291.40. Which job pays better Walmart or McDonalds?
McDonalds pays better.
x : 29 = 24 : 58.
Solve for x
x = 12
What is the difference between a ratio and a rate?
Ratios compare two quantities measured with the same units while rates measure two quantities with different units.
In a fish tank there are 3 goldfish, 8 angel fish, and 4 clown fish. What is the ratio of angel fish to gold fish to clownfish?
8:3:4
What are three real world examples of rates?
example answer:
speed: km/h or m/s
Price by weight: $/kg or $/g
Wage/Salary: $/h or $/year
If 8 stuffed toys costs $50 how much does 1 stuffed toy cost?
1 stuffed toy costs $6.25.
Is the following a ratio or a rate?:
The Edmonton Oilers have 4 wins to 3 losses so far this season
ratio
The ratio of cat owners to dog owners in a class is 4:5 if 12 students own cats, how many students own dogs?
15 students own dogs
191 g of skittles costs $3.27. 1.16 kg of skittles costs $12.98. Which is the better buy the 191g bag or the 1.16 kg bag?
The 1.16 kg bag is a better buy.
An 8 kg pumpkin cost $4. Another pumpkin was purchased for $2.50. How much does the second pumpkin weigh?
A student claims that 50 km/h is an example of a part to whole rate and 25 km/30 minutes is an example of a part to part rate. Is the student correct? Why or why not?
The student is incorrect. Rates compare two quantities measures in different units where each quantity does not represent two different parts of the same whole. Therefore there is no such thing as a part to part or part to whole rate.
An artist painted a painting with a dimension of 20 cm x 28 cm. The artist wants to sell prints of their painting at a smaller size. What is the smallest possible print size that has whole number side lengths in cm?
5 cm x 7 cm
1 gummy bear has 2.5g of sugar. If one serving of gummy bears 47.5 g of sugar how many gummy bears are in 1 serving?
There are 19 gummy bears in 1 serving
A math teacher predicts that it will take their students 3 minutes to answer a single question on a test. If a class period lasts one hour will her students have enough time to write a 25 question unit test? Why or why not?
If it takes 3 minutes to answer one question it will take 75 minutes or 1 hour and 5 minutes to answer 25 questions. Therefore the students will not have enough time to finish the test in one period.
Create one rate question and one ratio word problem using the fractions 3/4 and 12/16
Example:
If it took 4 hours to bake 3 cakes how long would it take to bake 12 cakes?
For every three slices of vanilla cake there are 4 slices of chocolate cake. If there are 16 slices of chocolate cake in total how many slices of vanilla cake are there?