Finding Ratios
Equivalent Ratios
Double Number Line Diagrams
Picture Diagrams
Vocabulary
100
Gary has three apples and four bananas. What is the ratio of apples to bananas?
3:4
100
Which is an equivalent ratio to 4:3?
A. 3:4
B. 8:6
C. 2:1
B. 8:6
Each is multiplied by 2.
100
Fill in the missing numbers on the double number line diagram.
20 and 5
The top row counts by 4 each time and the bottom row counts by 1 each time.
100
Darla is making Trail Mix for her hiking trip. What is the ratio of raisins to almonds in her mix?
2:6 2 to 6 2/6
100
A ____________________________________ uses a pair of parallel number lines to represent equivalent ratios.
double number line diagram
200
Wanda made a pie using flour and eggs. For every two cups of flour, there were 3 eggs. What is the ratio of flour to eggs in her recipe?
2:3
200
Would 2:5 and 5:2 be equivalent.
Show your work to prove either way.
No. If you setup 2 fractions and cross multiply (butterfly method), one side will be 4 and the other side will be 25. 4 does not = 25
Also, if I have 2 cats for every 5 dogs, that is not the same as having 5 cats for every 2 dogs.
200
How many batches of orange paint is represented by the double number line diagram?
4 batches
200
If Darla wants to double the recipe, below, how many pretzels will she need?
8 pretzels
200
The word ___________ means “for each”.
per
300
Maggie ran three miles yesterday and five miles today. What is the ratio of miles she ran today to the miles she ran yesterday?
5 to 3
300
Is 3:9 equivalent to 1:3?
Show proof on you paper.
Yes.
If you setup 2 fractions, you can divide 3 by 3 to get 1 and divide 9 by 3 to get 3.
Each is divided by 3.
Also, if you cross multiply (butterfly method) you will get 9 on both sides and 9 = 9
300
Fran works as a waitress at Texas Roadhouse. How much money did she make in 8 hours? 
$58
300
If there are 12 cats, how many dogs are there?
15 dogs
Both the cats and dogs are multiplied by 3.
300
A ________________ can be expressed three ways like this: 2:4 2 to 4 2/4
ratio
400
On the soccer team, there were 8 girls and 7 boys. What is the ratio of boys to all players?
7 to 15
400
Which is an equivalent ratio to 7:56?
A. 8:1
B. 1:7
C. 1:8
C. 1:8
Each is divided by 7.
400
Taylor went to the movies with her friends. How many friends went if their total was $12?
10 friends because there were 10 tickets.
400
If Leah mixes 6 cups of white paint and 12 tablespoons of blue paint, will she get the same shade as the mixture below?
No, because 2x3=6 and 6x2=12. In order to be the same shade, she would need to use an equivalent ratio. To be an equivalent ratio, both sides of the original ratio must be multiplied or divided by the same number. These are not.
400
______________________ are ratios that make the same comparison of numbers
Equivalent Ratios
500
Joe, Kevin, and Nick each wrote some new songs. Joe wrote 3 new songs, Kevin wrote 4 new songs, and Nick wrote 2 new songs. What is the ratio of songs that were written by Joe to Nick to Kevin?
3:2:4
500
Which ratio is NOT equivalent to 2:7?
A. 1:3.5
B. 4:7
C. 4:14
B. 4:7
B is incorrect, because 2 is multiplied by 2, but 7 is only multiplied by 1.
A is correct, because each are divided by 2.
C is correct, because each are multiplied by 2.
500
Charlotte wanted to make 5 batches of orange paint using the ratio represented below. If she uses 16 teaspoons of red paint and 25 teaspoons of yellow paint, will she get the same shade?
No, because the ratio is not equivalent. She, will need to use 15 teaspoons of red instead of 16 in order to get the right shade.
500
How many cups of milk are needed, if we make a milkshake using 4 teaspoons of chocolate syrup and 8 frozen bananas?
12 cups of milk. All three ingredients should be multiplied by 4.
500
****A Kool-Aid recipe calls for 9/6 tablespoons of powdered Kool-Aid mix for every 12 ounces of water.
How many batches can you make with 9 tablespoons of powdered Kool-Aid mix and 72 ounces of water?
6 batches