think of a number. Triple it. Add 100. double the result. Add 100. divide the result by 4. subtract one a half time the original number. What is the result?

(2(3x+100)+100)/4 - x/2 = ?

To solve this problem step by step, let's break it down:

1. Think of a number. Let's call it "x".

2. Triple the number: 3x.

3. Add 100: 3x + 100.

4. Double the result: 2(3x + 100) = 6x + 200.

5. Add 100 again: 6x + 200 + 100 = 6x + 300.

6. Divide the result by 4: (6x + 300) / 4 = (6/4)x + 75 = 1.5x + 75.

7. Subtract one and a half times the original number: 1.5x + 75 - (1.5)(x) = 1.5x + 75 - 1.5x = 75.

So, the result is 75.