Solving Proportions and Basic Operations

The video tutorial explains how to solve the proportion 8/36 = 10/n by multiplying both sides by the denominators to eliminate fractions, simplifying the equation, and solving for n. The process involves canceling terms and performing division to find that n equals 45. The solution is verified by checking the original proportion.

What is the initial proportion that needs to be solved?

• 10/36 = n/8

• 8/36 = 10/n

• 8/n = 36/10

• n/8 = 36/10

What is the purpose of multiplying both sides by n?

• To add n to both sides

• To eliminate n from the equation

• To make n the numerator

• To cancel out n in the denominator

After multiplying by n, what does the left-hand side of the equation become?

• 8/36n

• n/8

• 36n/8

• 8n/36

What operation is performed to remove the 36 from the denominator?

• Divide both sides by 36

• Subtract 36 from both sides

• Multiply both sides by 36

• Add 36 to both sides

What is the result of multiplying 10 by 36?

• 100

• 36

• 10

• 360

What is the next step after obtaining 8n = 360?

• Subtract 8 from both sides

• Divide both sides by 8

• Multiply both sides by 8

• Add 8 to both sides

How many times does 8 go into 36?

• 3 times

• 6 times

• 4 times

• 5 times

What is the final value of n?

• 50

• 45

• 40

• 55

What is the remainder when 40 is divided by 8?

• 3

• 2

• 1

• 0

What does the original proportion 8/36 equal after solving for n?

• 10/50

• 10/45

• 10/40

• 10/55