Ratios and Proportions in Nuts

The video tutorial explains how to determine the number of cashews in a bag given the ratio of peanuts to cashews is 8 to 5 and there are 96 peanuts. It uses a tape diagram to model the ratio, calculates the number of cashews, and verifies the ratio by showing equivalent ratios. The tutorial concludes by confirming that there are 60 cashews in the bag.

What is the initial ratio of peanuts to cashews in the bag?

• 8 to 13

• 13 to 8

• 5 to 8

• 8 to 5

How many total groups are the nuts divided into according to the tape diagram?

• 13

• 8

• 5

• 10

What is the purpose of using a tape diagram in this problem?

• To subtract numbers

• To add numbers

• To visually represent the ratio

• To multiply numbers

If there are 96 peanuts, how many peanuts are in each group?

• 16

• 10

• 12

• 8

What mathematical operation is used to find the number of peanuts per group?

• Addition

• Subtraction

• Multiplication

• Division

What is the number of cashews in each group to maintain the ratio?

• 8

• 10

• 12

• 14

What is the total number of cashews in the bag?

• 96

• 48

• 60

• 72

How do you verify that the new ratio is equivalent to the original ratio?

• By subtracting the numbers

• By adding the numbers

• By multiplying the numbers

• By dividing both numbers by 12

What is the equivalent ratio of peanuts to cashews after verification?

• 8 to 5

• 96 to 60

• 12 to 8

• 5 to 8

What is the final conclusion about the number of cashews in the bag?

• There are 96 cashews

• There are 48 cashews

• There are 60 cashews

• There are 72 cashews