Ratios and Rates
In a class, there are 6 boys and 8 girls. What is the ratio of boys to girls?
6:8 or 3:4
If Mimi drives 50 miles in 2 hours, what is her unit rate (miles per hour)?
25 miles per hour
Are 2:3 and 4:6 equivalent?
Yes, they are equivalent.
(2 x 6 = 12, 3 x 4 = 12)
money
Convert 0.56 to a percentage.
56%
Katelyn's fridge has 10 limes and 6 lemons. What is the ratio of lemons to limes?
6:10 or 3:5
If James types 120 words per 3 minutes, what is his rate of typing in words per minute?
40 words per minute
Are 1/6 and 2/7 equivalent?
No
1x2 = 2 but 6 x 2 is not 7.
It costs $35 dollars to buy 7 CDs. What is the unit price of each CD?
$5
20%
Barbara plants 8 daisies, 6 tulips, and 10 sunflowers. What is the ratio of tulips to flowers?
6:24 or 1:4
(this is a part to whole relationship!)
Unit rates are a special type of rate that compare a unit to ____.
1
Solve for x:
4:7 = 16:x
28
If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?
$0.35
Find 20% of 30.
6
Anna earns $12 in 3 hours. How much does she make in 12 hours?
$48
(It was 4 times as long, so she will make 4 times as much money).
Find the unit rate in chairs per table: 84 chairs at 7 tables
12 chairs per table
Solve for x:
x to 2 = 9 to 6
3
Which is the better deal (based on its unit price):
$20 for 5 t-shirts or $24 for 8 t-shirts
$24 for 8 t-shirts
(It is $3 per t-shirt instead of $4 per t-shirt)
Find 8% of 75
6
Henry reads 80 pages in 60 minutes. If he then reads 20 pages at the same pace, how many minutes will it take him?
15 minutes
(He read 1/4 of the amount of pages, so it will take 1/4 of the amount of time)
24 boxes weigh 5 pounds. What is the unit rate in pounds per box?
4.8 pounds per box
(Remember, the order of the unit is the order in which you divide!)
Solve for x:
3/8 = 15/x
40
Which is the better deal (based on its unit price):
$5 for 24 ounces of coffee
$3 for 16 ounces of coffee
$5 for 24 ounces
(it costs about $0.19 per ounce instead of about $0.21 per ounce)
$5.76