Solving a word problem using proportions

The video tutorial explains how to solve a word problem involving ratios. It begins by introducing the problem, which involves finding the total number of students in a class given the ratio of girls to boys and the fact that there are three fewer girls than boys. The tutorial then explains how to represent ratios as fractions and set up an equation using variables and proportions. The solution is found through cross multiplication, and the final step involves verifying the solution to ensure it answers the original question.

What is the initial problem statement regarding the class composition?

• The number of boys is twice the number of girls.

• There are three fewer girls than boys.

• There are more girls than boys.

• The number of girls is equal to the number of boys.

How is the ratio of girls to boys expressed in the problem?

• 5 to 4

• 4 to 5

• 3 to 2

• 2 to 3

Why is it important to define a variable when solving the problem?

• To ensure clarity in what the variable represents

• To make the problem more complex

• To confuse the students

• To avoid using numbers

What technique is used to solve the proportion in the problem?

• Substitution

• Graphing

• Cross-multiplication

• Elimination

What is the value of the variable X in the context of the problem?

• Number of girls

• Difference between boys and girls

• Number of boys

• Number of students

How many girls are in the class if there are 15 boys?

• 18

• 10

• 15

• 12

What is the total number of students in the class?

• 20

• 25

• 27

• 30