Solving for Variable 'n' in Proportions

The video tutorial explains how to solve a proportion problem using cross multiplication. It starts with the problem statement, 6/10 = 3/n, and demonstrates the cross multiplication method to find the value of n. The tutorial walks through the steps of multiplying across the equation, simplifying, and solving for n, which results in n = 5.

What is the initial proportion given in the problem?

• 6 over 10 equals 3 over n

• 5 over 8 equals 2 over n

• 4 over 9 equals 3 over n

• 7 over 11 equals 5 over n

What decision is made regarding the simplification of the left-hand side?

• To simplify it first

• To solve another problem

• To ignore simplification and proceed

• To change the numbers

What mathematical technique is introduced to solve the proportion?

• Addition

• Subtraction

• Cross multiplication

• Division

What is the purpose of cross multiplication in solving proportions?

• To create an equation to solve for the unknown

• To find a common denominator

• To subtract the numbers

• To add the numbers

What is the result of multiplying 10 by 3 in the cross multiplication step?

• 20

• 30

• 40

• 50

What is the first step in cross multiplication?

• Divide the numbers

• Multiply diagonally

• Subtract the numbers

• Add the numbers

What is the equation formed after cross multiplication?

• 4n = 30

• 5n = 30

• 3n = 30

• 6n = 30

What operation is used to isolate the variable 'n'?

• Subtraction

• Multiplication

• Addition

• Division

What is the inverse operation of multiplication used in the solution?

• Subtraction

• Addition

• Division

• Exponentiation

What is the purpose of dividing both sides by 6?

• To isolate 'n'

• To find a new variable

• To simplify the equation

• To change the proportion