Question 628297
Let x = number of nickels
so 2x = number of dimes
and 26 - (x + 2x) = 26 - 3x = number of quarters

5 cents = 1 nickel

10 cents = 1 dime

25 cents = 1 quarter

$5 = 500 cents

{{{5x + 10(2x) + 25(26 - 3x) = 500}}}
{{{-50x + 650 = 500}}}
{{{-50x = -150}}}
{{{x = 3}}}, {{{2x = 6}}}, and {{{26 - 3x = 17}}}
Answer: There are 3 nickels, 6 dimes and 17 quarters.