Ratios
A comparison between two numbers is called a ________.
ratio.
If Mimi drives 50 miles in 2 hours, what is her rate (miles per hour)?
25 miles per hour
Which is the better deal:
20 dollars for 5 t-shirts
OR
24 dollars for 8 t-shirts
24 dollars for 8 t-shirts (rate of 3 dollars per shirt)
Are the ratios equivalent? Simplify
6 pizzas for 14 people
OR
5 pizzas for 6 people
No
In a toy store, the ratio of dolls to teddy bears is 9:3. If the store has 240 dolls, how many teddy bears are in the store.
80 Teddy Bears
Write 10 limes to 6 lemons as a ratio.
10:6, 10/6, or 10 to 6
If James types 120 words per 3 minutes, what is his rate of typing?
40 words per minute
Which is the better deal:
11 books for 99 dollars
OR
29 books for 203 dollars
29 books for 203 dollars (a rate of 7 dollars per book)
Are the ratios equivalent? Simplify
25 miles in 5 hours
OR
125 miles in 25 hours
Yes
Leslie prepared 8 kilograms of dough after working 2 hours. How much dough did Leslie prepare if she worked for 3 hours? Solve using unit rates.
12 Kilograms of dough
What is a unit rate?
A rate in which the second number is a 1.
Per One
If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?
$0.35
Which is the better deal?
4 CDs for 36 dollars
OR
6 CDS for 54 dollars
They're the same!!
Are the ratios equivalent? Simplify
27 problems in 90 minutes
OR
9 problems in 30 minutes
Yes
Lexi jarred 6 liters of jam after 3 days. How much jam did Lexi jar if she spent 7 days making jam? Solve using unit rates.
14 Jars
Give an example of a unit rate in the real world.
Answers will vary, but the second number has to be 1 of a quantity.
Find the unit rate (time per call):
4 calls per hour (call per minutes)
15 minutes per call
Which is the better deal on bulk candy?
16 pounds for 31.68 dollars
OR
28 pounds for 49.56 dollars
28 pounds for 49.56 dollars (a rate of 1.77 dollars per pound)
Find 3 equivalent ratios for 3/5
6/10, 9/15, 12/20, 15/25, 18/30, 21/35 ........
Alec took a total of 12 quizzes over the course of 4 weeks. After attending 6 weeks of school, how many quizzes will Alec have taken in total? Solve using unit rates.
18 quizzes
What are equivalent ratios?
When two ratios have the same value when simplified.
What is the price per calculator?
5 calculators for $105
21 dollars per calculator
Which is the better salary?
A job that pays 217 dollars for 25 hours of work
OR
A job that pays 490 dollars for 40 hours of work
The job that pays 490 dollars for 40 hours of work (a rate of 12.25 dollars per hour).
According to Greg, perfect cherry pies have a ratio of 240 cherries to 3 pies.
How many cherries does Greg need to make 9 perfect cherry pies?
720
Ken ran a total of 15 miles over the course of 3 track practices. How many track practices would it take for Ken to run 20 miles? Solve using unit rates.
4 Track Practices