Ratios Word Problems
You can buy 5 cans for green beans at the Village Market for $4.00. You can buy 10
of the same cans of beans at Sam's Club for $4.30. Which place is the better buy?
Sam's Club
Define ratio
A ratio is an ordered comparison of two or more quantities (typically written as a to b)
𝑥: 8 = 1: 4
x=2
Mitigate
To make something less severe
Name 2 airports in Ontario
Pearson Airport
Billy Bishop Airport
A ferris wheel can accommodate 55 people in 20 minutes. How many people
could ride the ferris wheel in 4 hours? What was that rate per hour?
660 people, 165 people/hour
Define unit rate
rate per 1 unit, Ex. 100km/h, $0.05/g
𝑥: 8 = 1: 5
x=8/5
Pragmatic
Dealing with things sensibly and realistically based on what is possible,
What is the main colour on the flag of Ontario?
Red
Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 330 miles on 10 gallons of gas. How far could
you drive on 40 gallons of gas? What is the car's gas mileage?
1320 miles
33 mpg
Define proportion
A proportion is a mathematical statement showing that two ratios or rates are equal
9: 9 = 𝑥: 32
x=32
Ambivalent
Having mixed feelings or contradictory ideas about something.
What is the flower of Ontario
White trillium
You can buy 3 apples at the Quick Market for $1.17. You can buy 5 of the
same apples at Stop and Save for $1.15. Which place is the better buy?
Stop and Save
Two ratios that make the same comparison.
1.8: 3 = 27: 𝑥
x=45
Exacerbate
To make a problem, bad situation, or negative feeling worse.
Name the 5 Great Lakes
Michigan, Huron, Ontario, Superior, Erie
An ice cream factory makes 220 quarts of ice cream in 2 hours. How many
quarts could be made in 12 hours? What was that rate per day?
1320 quarts
2640 quarts/day
Define percentage
BONUS: What does percent mean etymologically?
number or ratio expressed as a fraction of 100
3:24 = x:64
x=8
Cognitive Dissonance
The mental discomfort someone feels when they hold two beliefs that contradict each other.
Largest Island in the world
Greenland