We can also solve this by using the strategy of matching operations


Quantity A: average of x, x, x, y, and y
Quantity B: average x, x, and y

Apply average formula to get:
Quantity A: (x + x + x + y + y)/5
Quantity B: (x + x + y)/3

Simplify:
Quantity A: (3x + 2y)/5
Quantity B: (2x + y)/3

To eliminate the fractions, multiply both quantities by 15 (the least common multiple of 3 and 5):
Quantity A: 15(3x + 2y)/5
Quantity B: 15(2x + y)/3

Simplify:
Quantity A: 3(3x + 2y)
Quantity B: 5(2x + y)

Expand:
Quantity A: 9x + 6y
Quantity B: 10x + 5y

Subtract 9x from both quantities:
Quantity A: 6y
Quantity B: x + 5y

Subtract 5y from both quantities:
Quantity A: y
Quantity B: x

Since we're TOLD that x > y, the correct answer is B

RELATED VIDEOS