SOLUTION: 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)

Click here to see ALL problems on Word Problems With Coins

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)
We came up with 2 pennies, 1 quarter and 6 nickels using Guess and Check which took a loooonnnggg time just trying different combinations. Curious if better way? Thanks so much!
Answer by MathTherapy(10555) (Show Source):
You can put this solution on YOUR website!
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)

Note that consist of AT LEAST 2 pennies
If 1 coin, or -dollar, and 2 pennies, then 6 (9 - 1 - 2) more coins are needed to make the remaining .
This is NOT POSSIBLE!! Therefore, no -dollar, or coins are included.
Besides yours, I didn't see any other combination involving quarters.
If 4 coins, or 4 dimes, and 2 pennies, then 3 (9 - 4 - 2) more coins are needed to make the remaining .
This is POSSIBLE, as 3 nickels do make . Therefore, she could have:

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.