Ratio Basics
Write the ratio of 8 apples to 2 oranges using ratio notation and words.
8:2
Simplified: 4:1
If you drive 60 miles in 1 hour, what is the unit rate in miles per hour? State it in words.
60 miles per hour
A car goes 30 miles in 0.5 hours. What is its speed in miles per hour?
30/.5 = 60 miles per hour
What is 100% of 3?
3
Asia ate a whole pizza. What percentage of the pizza did she eat?
100%
A recipe uses 3 cups of flour for every 2 cups of sugar. What is the ratio of flour to sugar?
3:2; in words “3 to 2” or 3223 (3 cups flour per 2 cups sugar).
A bag of 9 apples costs $4.50$4.50. What is the unit price per apple?
Unit price = 4.50/9=0.50=0.50 → $0.50$0.50 per apple.
Find 25% of 80
25/100 x 80 = 20
What is 50% of 8?
4
Mohamed sold half of his cards. What percentage of his cards did he sell?
50%
A model bird collection shows 6 wings for every 3 beaks. Describe that relationship using the phrase “for every …”.
For every 6 wings there are 3 beaks,” which can be simplified to “for every 2 wings there is 1 beak.”
Four workers build 12 chairs in 3 hours, at a constant rate. How many chairs does one worker make in one hour? Show your work.
If 5 pencils cost $1.25, how much would 12 pencils cost at the same unit rate?
1.25/5 = .25 per pencil
12 x .25 = $3.00
What is 25% of 8?
2
Fatima lost one-fourth of her pens. What percentage of her pens did she loose?
25%
Give two different equivalent ratios to 2:5.
4:10 and 6:15 (both equivalent to 2:52:5)
A painter covers 45 square feet in 3 hours. Find the unit rate in square feet per hour and explain your steps.
Unit rate = 45/3=15 square feet per hour.
On a map 1 inch represents 50 miles. How many miles are represented by 3.5 inches?
3.5 inches×50 miles/inch=175 miles.
What is 10% of 270?
27
Nadia wore rings on one-tenth of her fingers. What percentage of her fingers had rings? How many fingers is this?
10%, 1 finger
There are 18 students and 6 empty desks. Write the ratio of students sitting to empty desks, reduce it to simplest form.
18:6 → simplified 3:1.
A cycling club traveled 210 miles in 7 days at a steady pace.
What is the average miles per day?
210/7 = 30 miles per day.
Convert 2.5 kilometers to meters using unit conversion.
1km = 1000 meters so 2.5km x 1000 - 2500 meters
What is 30% of 200?
60
Hassan ate three-fourths of a pizza. What percentage did he eat?
If there were 8 pieces, how many did he eat?
75%, 6 peices