Ratios and Percentages in Word Problems

This video tutorial explores the concept of ratios, focusing on problems involving two related ratios. It begins with an example of beads in a bag, demonstrating how to find a combined ratio by identifying a common element and calculating the lowest common multiple. The tutorial then covers calculating the smallest possible number of beads and determining the percentage of red beads. A second example involving farm animals illustrates similar concepts, emphasizing the importance of finding a common element in related ratios to solve problems effectively.

What is the initial ratio of red to yellow beads given in the problem?

• 3 to 4

• 5 to 2

• 4 to 3

• 2 to 5

What is the initial ratio of yellow to green beads given in the problem?

• 4 to 3

• 2 to 5

• 5 to 2

• 3 to 4

Why is it important to focus on the yellow beads in both ratios?

• Because they are the rarest color

• Because they are the most common color

• Because they are the largest in number

• Because they are present in both ratios

What is the lowest common multiple of 3 and 5 used in the bead problem?

• 25

• 10

• 15

• 20

What is the combined ratio of red to yellow to green beads after finding the common multiple?

• 6 to 15 to 20

• 2 to 5 to 4

• 3 to 4 to 5

• 5 to 10 to 15

How do you calculate the smallest possible number of beads in the bag?

• Add the numbers in the ratio

• Multiply the ratios

• Subtract the smallest from the largest

• Divide the largest by the smallest

What is the smallest possible number of beads in the bag?

• 50

• 30

• 41

• 60

What fraction of the beads are red?

• 6/41

• 15/41

• 20/41

• 10/41

What percentage of the beads are red?

• 14.63%

• 20%

• 30%

• 25%

What is the initial ratio of sheep to cows in the new problem?

• 5 to 2

• 3 to 4

• 4 to 3

• 2 to 5