Question 987961
Let the number of dimes be d
You are told that the number of quarters is (d+8)
You are told the number of nickels is 4*quarters = 4*(d+8)

{{{580 = 10*d + 5*(4*(d+8)) + 25*(d+8)}}}
{{{580 = 10d + 5*(4d+32) + 25d+200}}}
{{{580 = 10d + 20d + 160 + 25d + 200}}}
{{{580 - 160-200 = 10d+20d+25d}}}
{{{220 = 55d}}}
{{{220/55 = d}}}
{{{4=d}}}
there are 4 dimes
8+4 = 12 quarters
4*12=48 nickels