Ratios and Proportions in Word Problems

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 checking the equivalence of given ratio pairs, while the second exercise uses a tape diagram to solve a ratio problem involving walnuts and cashews.

What is the ratio of sixth-grade students with overdue library books according to the morning announcement?

• 3 out of 5

• 2 out of 5

• 2 out of 7

• 3 out of 7

Why can't we determine who is correct about the number of students with overdue books?

• The announcement was unclear.

• The ratio given is incorrect.

• The total number of students is unknown.

• The number of overdue books is not specified.

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

• 8

• 7

• 6

• 9

What is the correct equivalent ratio for 42:88?

• 42:90

• 42:84

• 42:77

• 42:80

In the ratio exercise, what is the multiplication factor for the ratio 5:20?

• 6

• 3

• 4

• 5

What is the initial ratio of walnuts to cashews in the problem-solving exercise?

• 5:6

• 6:7

• 7:8

• 4:5

How many cashews are there in each group when divided equally?

• 7

• 8

• 9

• 10

How many walnuts are there in total if there are 54 cashews?

• 55

• 50

• 45

• 40

What is the equivalent ratio of walnuts to cashews when there are 45 walnuts and 54 cashews?

• 8:9

• 6:7

• 5:6

• 7:8

What method is used to solve the problem of finding the number of walnuts?

• Bar graph

• Pie chart

• Tape diagram

• Line graph