SOLUTION: Olivia has 10 coins : some toonies , some loonies , and some quarters . She has more toonies than loonies , and more loonies than quarters . How much money

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Question 964471: Olivia has 10 coins : some toonies , some loonies , and some quarters . She has more toonies than loonies , and more loonies than quarters . How much money does Olivia have? Explain
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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%280.25%29%2B2%281%29%2B7%282%29=0.25%2B2%2B14=16.25
1%280.25%29%2B3%281%29%2B6%282%29=0.25%2B3%2B12=15.25
1%280.25%29%2B4%281%29%2B5%282%29=0.25%2B4%2B10=14.25
2%280.25%29%2B3%281%29%2B5%282%29=0.50%2B3%2B10=13.50