SOLUTION: Pat has a collection of stickers for numbering pages in a scrapbook. Each sticker has 1 digit on it (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9). Pat has twenty-two stickers that have "2" on

Question 334813: Pat has a collection of stickers for numbering pages in a scrapbook. Each sticker has 1 digit on it (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9). Pat has twenty-two stickers that have "2" on them. Pat has plenty of the rest of the digits. If Pat starts at 1, how many pages can he number?
a. 22
b. 99
c. 112
d. 119
e. 199
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!


It takes 20 2's for the UNITs' digits only of 02, 12, 22, 32, etc., thru 192.
That's because the digits I've colored red before the last 2's are the numbers
from 0 to 19, which is 20 2's needed for the UNITs' digits only.

It takes the remaining two 2's to make the ten's digits of 22 and 122.  
So she uses her last 2 on page 192.  But she won't need any more
2's till she gets to page 200, which she won't be able to number because
she will be out of 2's.  So she can only number through page 199, choice e. 

Edwin

RELATED QUESTIONS
It is your job to make numbered tags for placing on 332 332 bicycles in your city.... (answered by greenestamps)
Patty uses stickers with digits printed 0 to 9 to number the pages of her scrapbook. She... (answered by 2897696)
Patty uses stickers with digits printed 0 to 9 to number the pages of her scrapbook. She... (answered by Alan3354,josmiceli,MathLover1)
Patty uses stickers with digits printed from 0 to 9 to number the pages of her scrapbook. (answered by jim_thompson5910,math_helper)
Mr. Choo had some blue and red stickers at first. If he gives out 4 blue stickers and 5... (answered by ikleyn)
There are 3 green stickers, 2 yellow stickers, and 5 blue stickers. You draw a sticker... (answered by ewatrrr)
A cereal company randomly puts one of six different stickers in each box of its... (answered by stanbon)
1. 3 ducks and two ducklings weigh 32 kg. 4 ducks and 3 ducklings weigh 44 kg. All ducks... (answered by Bassam)
How do I start to solve this problem? I have tried to solve but I am so confused.... (answered by mducky2)