Lets assume that number of Dimes = x
And number of quarters = y
Since total number of coins is 23
x+y = 23 ...(1)
Since 1 dimes = 10 cents, so x dimes = 10x cents
And 1 quarter = 25 cents, so y quarter = 25y cents
Total value of change = 410 cents
10x+25y = 410 ...(2)
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