Exploring Ratios and Tape Diagrams

The video tutorial introduces tape diagrams as a tool for solving complex ratio problems. It begins with a review of a marble ratio problem, demonstrating how to use tape diagrams to find the number of blue marbles when given the number of red marbles. The tutorial then presents a new problem involving the ratio of male to female passengers on a BART train, using tape diagrams to determine the number of female passengers. The video emphasizes the visual benefits of tape diagrams in understanding and solving ratio problems.

What is the ratio of red to blue marbles in Susan's bag?

• 5 to 7

• 6 to 5

• 5 to 6

• 7 to 5

If there are 54 red marbles, how many blue marbles are there?

• 40

• 50

• 35

• 45

How many pieces of tape represent the red marbles in the tape diagram?

• 6

• 7

• 5

• 8

What does each piece of tape represent if there are 54 red marbles?

• 8 marbles

• 11 marbles

• 9 marbles

• 10 marbles

What is the ratio of male to female passengers on Mr. Rags' BART train?

• 3 to 5

• 5 to 3

• 4 to 3

• 3 to 4

How many total passengers are there on the BART train?

• 28

• 29

• 26

• 27

How many pieces of tape represent the total number of passengers?

• 7

• 8

• 9

• 6

What does each piece of tape represent if there are 28 passengers?

• 5 passengers

• 4 passengers

• 3 passengers

• 6 passengers

How many female passengers are there on the BART train?

• 12

• 11

• 13

• 10

What should you use to solve similar problems for homework?

• Line graphs

• Bar graphs

• Pie charts

• Tape diagrams