Practical Applications of Ratios and Proportions

This video tutorial covers grade six math concepts, focusing on understanding ratios using tape diagrams. It begins with an introduction to ratios and a warm-up exercise with true or false questions. The lesson progresses to using cubes to visualize paint mixing ratios and solving word problems with tape diagrams. It also includes sections on using tables and double number lines for calculations and a cost comparison problem involving bags of oranges. The tutorial aims to enhance students' understanding of ratios and their applications in real-world contexts.

What is the result of 1/5 of 45?

• 6

• 7

• 8

• 9

In the paint mixing problem, what is the total amount of maroon paint when using 5 ml of red and 3 ml of blue?

• 5 ml

• 8 ml

• 10 ml

• 12 ml

If each cube represents 2 ml, how much maroon paint is there in total?

• 12 ml

• 10 ml

• 14 ml

• 16 ml

How many students are wearing sneakers if the ratio of sneakers to boots is 5:6 and there are 33 students in total?

• 12

• 15

• 18

• 20

In the chicken marinade recipe, how many cups of oil are needed if the total marinade is 42 cups?

• 28 cups

• 35 cups

• 21 cups

• 14 cups

If a batch of fruit punch includes 30 cups of apple juice, how many cups of fruit punch does it make in total?

• 70 cups

• 90 cups

• 60 cups

• 80 cups

How long will it take Noah to complete a 100-mile bike race if he rides 32 miles in 160 minutes?

• 450 minutes

• 400 minutes

• 550 minutes

• 500 minutes

What is the cost per pound for the 3-pound bag of oranges?

• $1.75

• $1.67

• $1.50

• $1.33

How many rainy days were there if the ratio of sunny to rainy days is 4:1 in a 30-day month?

• 8 days

• 7 days

• 6 days

• 5 days

Which bag of oranges offers a better deal per pound?

• Cannot be determined

• Both are the same

• 8-pound bag

• 3-pound bag