Agnes 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 most appropriate option.
A) 32
B) 30
C) 29
D) 28
E) 27
5v + 10y = 460   v &gt; y   Pick an easy number to work with.   suppose v=30.   Then you have 150.   You need another 310 and that means you need y=31 which is greater than v.   Therefore, v &gt; 30.   The only answer choice where v &gt; 30 is if v = 32.   32 is the answer.
<result>A</result>
Agnes 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?