Question 1189835: A large sack contains twenty $1 bills, three $2 bills, six $5 bills, fifteen $20 bills, and one $50 bill. You remove bills one at a time from this sack, stopping when you have five of any one denomination. The maximum amount, in dollars, that you can draw out under these conditions is
a) 180 b) 181 c) 184 d) 185 e) 186
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
The largest number of those bills you can take out of the sack WITHOUT getting five of one denomination is
4 $1 bills
3 $2 bills (all of them)
4 $5 bills
4 $20 bills
1 $50 bill (there is only one)
(1) Find what that total is.
When you take one more bill out of the bag, it has to be either $1, $5, or $20, so you will have five of one denomination.
The problem asks for the largest amount of money you can get if you stop when you get five of one denomination, so that last bill you take out of the sack must be the largest denomination.
(2) Add that largest denomination to the total from step (1) to get the answer.
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Ignore the "corrected" solution from "tutor" @ikleyn. She did not "fix" anything....
Initially, she showed the exact answer that you will get by following the logical process described in my response -- 1 $50 bill, 5 $20 bills, 4 $5 bills, 3 $2 bills, and 4 $1 bills -- a total of $50+$100+$20+$6+$4=$180.
Then she sloppily did a calculation using FIVE $1 bills to show a final WRONG answer.
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Dear tutor @ikleyn ....
STOP STOP STOP STOP trying to correct MY English when yours is so terrible!!!!
YES -- the process stops as soon as she gets 5 of one denomination. So she can't end with five $20 bills AND five $1 bills.
And while we're here, PLEASE PLEASE PLEASE PLEASE PLEASE STOP deleting readers' messages because you think they are nonsense. You have shown on many occasions (such as this one) that YOU are often incapable of understanding written English.
Answer by ikleyn(52855)  (Show Source):
You can put this solution on YOUR website! .
A large sack contains twenty $1 bills, three $2 bills, six $5 bills, fifteen $20 bills, and one $50 bill.
You remove bills one at a time from this sack, stopping when you have five of any one denomination.
The maximum amount, in dollars, that you can draw out under these conditions is
a) 180 b) 181 c) 184 d) 185 e) 186
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The maximum sum will be reached when you have
- one $50 plus
- five $20 plus
- four $5 plus
- three $2 plus
- four $1,
which gives, in total, 50 + 5*20 + 4*5 + 3*2 + 4*1 = 180 dollars. ANSWER
Solved.
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