Carcass wrote:
The average of a number and 20% of the number is 660. What is the number?
Let \(x\) = the number
So, \(0.2x\) = 20% of the number
If the average of the two numbers is \(660\), we can write: \(\frac{x + 0.2x}{2} = 660\)
Multiply both sides of the equation by \(2\) to get: \(x + 0.2x = 1320\)
Simplify: \(1.2x = 1320\)
Solve: \(x = \frac{1320}{1.2} = 1,100\)
Answer: \(1,100\)