How many words did Bill's page contain initially?

Question

George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 70 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 220.

How many words did Bill's page contain initially?

Answer 1

Bill's page contains 200 words initially. 

 

Here is how I arrived at the solution: 

The problem asks us bill's initial word count which I will abbreviate as B_initial. 

 

B_initial = C_initial - 50 (Bill's page contains 50 fewer words than charlie) 

2*(B_initial + 70) - (C_initial + 70) = 220 (after 1 minute, both bill and charlie have 70 more words on their papers)