It’s a slow day at the bank, and one of the tellers notices that if he takes one $50 bill, one $20 bill, one $10 bill, and one $5 bill, it adds up to $85.  He mentions this to his co-worker and says he wonders how many other ways you can combine bills so that they add up to exactly $85.  She mentions a couple combinations off the top of her head, and they compete to see who can come up with more. Using only FIFTIES, TWENTIES, TENS and FIVES, he finds 18 different combinations, and she finds 21.  What is the maximum number of combinations they could have found?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Systems Of Equations
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It’s a slow day at the bank, and one of the tellers notices that if he takes one $50 bill, one $20 bill, one $10 bill, and one $5 bill, it adds up to $85.  He mentions this to his co-worker and says he wonders how many other ways you can combine bills so that they add up to exactly $85.  She mentions a couple combinations off the top of her head, and they compete to see who can come up with more.

Using only FIFTIES, TWENTIES, TENS and FIVES, he finds 18 different combinations, and she finds 21.  What is the maximum number of combinations they could have found?

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