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?
Given: George's page contains twice as many typed words as Bill's page Bill's page contains 50 fewer words than Charlie's page 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
Let Charlie's page be x. Let Bill's page be x - 50 Let George's page be 2(x-50)
After 1 minute: Charlie's page: x + 70 Bill's page: x - 50 + 70 George's page: 2(x-50) + 70
Difference between George's page and Charlie's page is 220.
[2(x-50) + 70] - (x + 70) = 220 2x - 100 + 70 - x - 70 = 220 2x - x - 100 + 70 - 70 = 220 x - 100 = 220 x = 220 + 100 x = 320
Let Charlie's page be x. → x = 320 Let Bill's page be x - 50 → x - 50 = 320 - 50 = 270 Let George's page be 2(x-50) → 2(x-50) = 2(320-50) = 2(270) = 540
