Answer :
The number of dimes is 13.
The system of equation for the situation is as follows;
x + y = 24
0.1x + 0.05y = 1.85
How to solve system of equation?
The coins are 24.
Therefore, they are all dimes and nickel.
Total value of the coins is $1.85.
Hence, let
x = number of dimes
y = number of nickels
Therefore,
x + y = 24
0.1x + 0.05y = 1.85
0.1x + 0.1y = 2.4
0.1x + 0.05y = 1.85
0.05y = 0.55
y = 0.55 / 0.05
y = 11
x = 24 - 11
x = 13
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