SOLUTION: Kim has $1.65 in nickels, dimes and quarters. She has 10 coins all together and the number of quarters is equal to the number of nickels and dimes combined. Haw many of each coi

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Question 450086:
Kim has $1.65 in nickels, dimes and quarters. She has 10 coins all together and the number of quarters is equal to the number of nickels and dimes combined. Haw many of each coin does she have?

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x+y+z=10
z=x+y
2x+2y=10
5x+10y+25(x+y)=165
30x+35y=165
30x+30y=150
5y=15
y=3
x=2
z=5
Kim has 2 nickels, 3 dimes, and 5 quarters..