GRE Help Arithmetic Mean

The video tutorial explains a GRE algebra problem involving the arithmetic mean of three numbers: 6, 9, and k. The goal is to express k in terms of n, the average. The instructor guides through the process of setting up the equation, isolating k, and simplifying the expression to find the solution. The tutorial uses relatable analogies and humor to make the algebraic concepts more accessible.

What is the arithmetic mean of the numbers 6, 9, and k?

• The average of 6, 9, and k

• The sum of 6, 9, and k

• The product of 6, 9, and k

• The difference between 6, 9, and k

What is the first step in solving for k in the equation (6 + 9 + k) / 3 = n?

• Add 6 and 9

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 6 from both sides

After multiplying both sides by 3, what is the resulting equation?

• 6 + 9 + k = 3 + n

• 6 + 9 + k = n + 3

• 6 + 9 + k = n/3

• 6 + 9 + k = 3n

What is the next step after obtaining the equation 6 + 9 + k = 3n?

• Subtract 15 from both sides

• Divide both sides by 15

• Multiply both sides by 15

• Add 15 to both sides

What is the final expression for k in terms of n?

• k = n + 15

• k = n - 15

• k = 3n - 15

• k = 3n + 15