Understanding Equivalent Ratios in Paint Mixing

In this lesson, the teacher explains how to solve problems using equivalent ratios. The example problem involves determining the number of blue paint cans Megan used when painting her home. The teacher demonstrates two methods: using a tape diagram and using equivalent ratios. Both methods lead to the same solution, showing the flexibility in problem-solving approaches.

What is the main focus of lesson five?

• Solving problems using equivalent ratios

• Learning about fractions

• Understanding algebraic expressions

• Exploring geometric shapes

In the problem example, what is the ratio of yellow to blue paint cans?

• 3 to 5

• 4 to 7

• 6 to 9

• 5 to 8

How many total cans of paint does Megan use?

• 66

• 55

• 44

• 33

What method is first used to solve the problem of finding the number of blue paint cans?

• Using a graph

• Using a bar chart

• Using a pie chart

• Using a tape diagram

How many cans of yellow paint are used according to the tape diagram method?

• 24

• 20

• 16

• 12

How many cans of blue paint are used according to the tape diagram method?

• 34

• 28

• 22

• 18

What is the alternative method used to solve the problem?

• Using equivalent ratios

• Using a histogram

• Using a line graph

• Using a pie chart

In the equivalent ratios method, what is the total of the original ratio?

• 9

• 10

• 11

• 12

What is the multiplier used to scale the original ratio to match the total of 44 cans?

• 4

• 3

• 5

• 6

Do both methods yield the same number of blue paint cans?

• Only the equivalent ratios method is correct

• No

• Yes

• Only the tape diagram method is correct