Question 898772
The value of Lindsey's 9 coins is $0.57. She has 3 kinds of coins. What kinds of coins does Lindsey have? How many of each kind does she have? ( hint there is more than one answer) 
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Note that {{{.57c}}} consist of AT LEAST 2 pennies

If 1 {{{50c}}} coin, or {{{1/2}}}-dollar, and 2 pennies, then 6 (9 - 1 - 2) more coins are needed to make the remaining {{{5c}}}.
This is NOT POSSIBLE!! Therefore, no {{{1/2}}}-dollar, or {{{50c}}} coins are included.

Besides yours, I didn't see any other combination involving quarters.

If 4 {{{10c}}} coins, or 4 dimes, and 2 pennies, then 3 (9 - 4 - 2) more coins are needed to make the remaining {{{15c}}}.
This is POSSIBLE, as 3 nickels do make {{{5c}}}. Therefore, she could have: 
{{{highlight_green(system (4_dimes, 2_pennies, 3_nickels))}}}

I didn't see any other combination involving dimes and nickels.

Besides the combination you found, I don't see any other. Thereby, only two seem to exist.