Question 346838
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To pay off $44 with 10s, 5s, and 1s, the number of 1s subtracted from 44 must leave an amount divisible by 5 so that the balance can be paid with 10s and 5s.


That means that she uses 4 ones or 9 ones.  She can't use 14 ones because that would violate the 13 bill rule.


If she uses 4 ones, then that leaves 40 dollars to be paid.  If she pays the entire 40 with 5s, then that is 8 more bills for a total of 12 -- one too few to satisfy the 13 bill requirement.


If she uses 9 ones, then that leaves 35 dollars to be paid using 4 bills.  3 tens and a 5 should do it.


In summary, 3 tens, 1 five, 9 ones.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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