Understanding and Applying Ratios

The video tutorial explains how to solve a problem involving ratios. It starts with a basic understanding of ratios and sets up a problem with a classroom of 55 students, where the ratio of boys to girls is 4:7. The goal is to determine how many girls need to be added to change the ratio to 1:2. The tutorial walks through the process of analyzing the current ratio, calculating the number of groups of students, and solving for the new ratio using algebraic methods.

What is the initial ratio of boys to girls in the classroom?

• 2:3

• 4:7

• 3:5

• 1:2

How many students are there in total in the classroom?

• 45

• 60

• 50

• 55

If the ratio of boys to girls is 4:7, how many boys are there in the class?

• 15

• 25

• 20

• 30

How many groups of 11 students can be formed from the class?

• 3

• 4

• 6

• 5

What is the number of girls in each group of 11 students?

• 3

• 5

• 9

• 7

How many girls are there in total in the class before adding more?

• 40

• 35

• 30

• 25

What is the new desired ratio of boys to girls?

• 1:1

• 1:2

• 2:3

• 3:4

How many girls need to be added to achieve the new ratio?

• 6

• 3

• 4

• 5

After adding the girls, what is the total number of girls in the class?

• 38

• 42

• 35

• 40

What is the final ratio of boys to girls after adding the girls?

• 3:4

• 2:3

• 1:2

• 4:5