Question 226991
You are told there are 60 coins that total $4.80
Let d represent the number of dimes and n be the number of nickles. Each dime is worht 10 cents and each nickle is worth 5

So
{{{d + n = 60}}}
{{{d = 60-n}}}
{{{10d + 5n = 480}}}
{{{10(60-n) + 5n = 480}}}
{{{600 - 10n + 5n = 480}}}
{{{-10n + 5n = 480 - 600}}}
{{{-5n = - 120}}}
{{{5n = 120}}}
{{{n = 120/5}}}
{{{n = 24}}} thus you have 24 nickles
{{{60-24 = d}}} which means there are 36 dimes

Verify your answer
Does {{{36*10 + 24*5 = 480}}}???