Question 1060910
n = number of nickels
d = number of dimes


n + d = 59  {she has 59 coins total}
5n + 10d = 430  {value of coin times number of coins equals total value}


-5n - 5d = -295 {multiplied top equation by -5}
5n + 10d = 430   {bottom equation stays the same}
---------------
5d = 135 {added the two equations}
d = 27 {divided each side by 5}


n + d = 59 {first original equation}
n + 27 = 59 {substituted 27, in for d, into first original equation}
n = 32 {subtracted 27 from each side}


27 dimes 
32 nickels
<br>For more help from me, visit: <a href = "http://www.algebrahouse.com/" target = "_blank">www.algebrahouse.com</a><br><br><br>