Ratios and Proportions in Problem Solving

The video tutorial covers the concept of equivalent ratios, starting with a real-world example involving overdue library books among sixth graders. It explains how to determine if ratios are equivalent and provides exercises to practice this skill. The first exercise involves comparing given pairs of ratios, while the second uses a tape diagram to solve a problem involving the ratio of walnuts to cashews.

What was the ratio of sixth-grade students with overdue library books mentioned in the morning announcement?

• 2 out of every 5

• 3 out of every 5

• 3 out of every 7

• 2 out of every 7

Why couldn't Jasmine's statement about the number of students with overdue books be confirmed?

• The announcement was unclear.

• The total number of students was not provided.

• The ratio was incorrect.

• The number of overdue books was not mentioned.

In the exercise, what multiplication factor was used to check if the ratios 6:11 and 42:88 are equivalent?

• 8

• 9

• 7

• 6

What is the correct equivalent ratio for 6:11 if the first number is multiplied by 7?

• 42:77

• 42:88

• 42:66

• 42:99

In the continuation of the exercise, what was the multiplication factor used for the ratio 5:20?

• 6

• 3

• 5

• 4

What is the equivalent ratio for 5:0 when multiplied by 4?

• 20:8

• 20:16

• 20:0

• 20:4

In the problem-solving exercise, what was the initial ratio of walnuts to cashews?

• 6:7

• 5:6

• 7:8

• 4:5

How many cashews were there in the bag according to the problem-solving exercise?

• 60

• 45

• 50

• 54

How many walnuts were determined to be in the bag using the tape diagram?

• 45

• 50

• 40

• 55

What is the equivalent ratio of walnuts to cashews after solving the problem?

• 45:54

• 50:54

• 40:54

• 55:54