Agatha has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have? Choose the correct choice from the following choices:
A) 32 B) 30 C) 29 D) 28 E) 27
5n + 10m = 460   n &gt; m   Pick an easy number to work with.   suppose n=30.   Then you have 150.   You need another 310 and that means you need m=31 which is greater than n.   Therefore, n &gt; 30.   The only answer choice where n&gt; 30 is if n = 32.   32 is the answer.
<result>A</result>
Agatha has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?