Question 387085

Let N be the number of nickels, D the number of dimes.
1.{{{N+D=32}}}
.
.

{{{5N+10D=245}}}
2.{{{N+2D=49}}}
Subtract eq. 1 from eq. 2,
{{{N+2D-N-D=49-32}}}
{{{highlight(D=17)}}}
Then from eq. 1,
{{{N+17=32}}}
{{{highlight(N=15)}}}