OG Max has $125 consisting of bills each worth either $5

[AbeNeedsAnswers]

Max has $125 consisting of bills each worth either $5 or $20. How many bills worth $5 does Max have?

(1) Max has fewer than 5 bills worth $5 each.
(2) Max has more than 5 bills worth $20 each.

D

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Hi AbeNeedsAnswers,

We're told that Max has $125 consisting of bills worth $5 or $20 each. We're asked for the number of $5 bills that Max has. Based on the 'restrictions' in this question, there are only a handful of possible ways to get to $125. As such, I'm going to list them out first (before we deal with the two Facts):

$125:
Six 20s and one 5
Five 20s and five 5s
Four 20s and nine 5s
Three 20s and thirteen 5s
Two 20s and seventeen 5s
One 20 and twenty-one 5s
Zero 20s and twenty-five 5s

1) Max has fewer than 5 bills worth $5 each.

With this Fact, there's only one possible option: Six 20s and one 5.
Fact 1 is SUFFICIENT

2) Max has more than 5 bills worth $20 each.

With this Fact, there's only one possible option: Six 20s and one 5.
Fact 2 is SUFFICIENT

Final Answer: D

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