Question 964471
The min number of quarters she can have is 1.
(1, 2, 7)
(1, 3, 6)
(1, 4, 5)
(2, 3, 5)
These four sets are the only possible combinations of (Q,L,T) that have a total of 10 coins she can have given the other constraints.
This leads to the total values of,
{{{1(0.25)+2(1)+7(2)=0.25+2+14=16.25}}}
{{{1(0.25)+3(1)+6(2)=0.25+3+12=15.25}}}
{{{1(0.25)+4(1)+5(2)=0.25+4+10=14.25}}}
{{{2(0.25)+3(1)+5(2)=0.50+3+10=13.50}}}