#### Transcript of Lesson 13: From Ratio Tables to Equations Using the Value of

**Lesson 13: From Ratio Tables to Equations Using the Value of a **

Ratio

Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ratio, which of the following statements are true?

Remember it's like a puzzle...

Music

True or False?

Complete the Table...

Red Paint (R)

Yellow Paint

(Y) Relationship

3

3 = 1 × 3

2

9

9 = 3 × 3

12

5

Table completed

p. 54 Malia is on a road trip. During the first five minutes of Malia’s trip, she sees

18

cars

and

6

trucks

. Complete the ratio table using this comparison. Let

T

represent the number of

trucks

she sees, and let

C

represent the number of

cars

she sees.

Trucks Cars

1

3

18

12

60

Answer

Trucks Cars

1 3

3 9

6 18

12 36

20 60

Answer: 3/1 or 3

What equation would model the relationship between cars and trucks?

Group Time

http://www.k12mathworksheets.com/ratios/gr6-ratio_tables.pdf

Choose wisely...

3/4 of a 4-gallon mix would be yellow paint.

Choose Wisely...

Every 1 gallon of yellow paint requires 1/3

gallon of red paint

Choose wisely...

Every 1 gallon of red paint requires 3 gallons of yellow paint.

Choose wisely...

There is 1 gallon of red paint in a 4-gallon mix of orange paint.

Choose wisely...

There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.

Red Paint (R)

Yellow Paint

(Y) Relationship

1

3

3 = 1 × 3

2

6

6=2 x 3

3

9

9 = 3 × 3

4

12

12= 4 x 3

5

15 15= 5 x 3

What is the value of the ratio of cars to trucks?

Answer

C=3T

At the end of the trip, Malia had counted 1,254 trucks. How many

cars did she see?

Put it in the equation!!!

C=3T

C= 1254 x 3

C=

!!!

In your groups, you will read the word problem. You will:

-create a ratio table with missing values (you must know the answer)

-create three questions to go along with your table.

-tomorrow another group will attempt to answer your questions.

Exercise 3

Jorge now wants to make purple paint. Jorge decides to mix 1 gallon of blue paint with 4 gallons of red paint. Fill out a table based on the information.

Table

Blue

Red

Relationship

1

4

4=1x4

p. 53 problem a.

. Using the same relationship of red to blue from above, create a table that models the relationship of the three colors blue, red, and purple (total) paint. Let 𝐵 represent the number of gallons of blue paint, let 𝑅 represent the number of gallons of red paint, and let 𝑇 represent the total number of gallons of (purple) paint. Then write an equation that also models this relationship and answer the questions.

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