Ratios
What is a ratio?
Relationship between two quantities
What is a rate?
A ratio comparing quantities with different units
What is a unit rate?
A ratio that compares a quantity with one unit to one single unit of a different unit (eg. miles per hour)
What does percent mean?
Per 100
What is a proportion?
The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there?
50 apples
At soccer practice, Hassan warms up by kicking balls at the goal. Yesterday, Hassan made 24 goals in 3 minutes. Today, he only spent 2 minutes making goals. If Hassan made goals at the same rate, how many goals did he make today?
16 goals
Sonya can walk 6 kilometers in 3 hours. How far can she walk in 1 hour?
2 km
What is 20% of 300?
60
Four big water bottles can hold 8 gallons of water. How much water can ten big water bottles hold?
20 Gallons
The ratio of pears to green apples is 1:3. If there are 240 green apples, how many pears are there?
80 pears
The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?
250
If there are 500 calories for 5 servings of candy, how many calories are there per serving?
100 calories
In a class of 30 children, 18 of them have brown eyes. What percentage has brown eyes?
60%
It takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages?
135 minutes
The ratio of blueberries to strawberries is 1:7. If there are 2100 strawberries, how many blueberries are there?
300 blueberries
12 students play on the school's basketball team and 36 students play on the football team. What is the simplified ratio of basketball players to football players?
1:3
Benson has his own bakery. He baked 5 cakes per day. For a family get together, he started to bake 12 cakes per day. In the whole week leading up to the family gathering, how many cakes will he bake?
84 cakes
Tymon spends 25 minutes studying math, 35 minutes studying history and 40 minutes studying science. What percentage of his time is spent studying history?
35%
Zariah has a bag of yellow and blue. The ratio of blue jelly beans to yellow jelly beans is 3:4. If Zariah’s bag has 200 yellow jelly beans, how many jelly beans altogether are there?
150
Louise knits hats to sell at craft fairs. It takes her 12 minutes to knit 4 rows of stitches. Determine the missing value to show the relationship between the number of minutes and rows knitted?
Minutes 12 24 36 48 60
Rows Knitted 4 8 16 20
12
The ratio of students with blond hair to students with brown or black hair is 1:2. If there are 212 students with brown or blackhair, how many students have blond hair?
106 students have blonde hair
Mr. White can travel for 6 hours while taking 3 breaks of 10 minutes each. Once, he had to travel for 36 hours. How many minutes in breaks did he take?
180 minutes
In a survey, 25% of students voted for Chips Ahoy, 35% voted for Nutter Butters, and 40% voted for Oreos. If 240 students voted, how many voted for Oreos?
96
Celia enlarged the size of a rectangle to a width of 4 feet. If the original height was 8 inches and the original width was 16 inches, what is the new height?
(Hint: 1foot=12 inches)
2 feet