Question 336591
Let D be the number of dimes, Q the number of quarters.
1.{{{D+Q=86}}}
2.{{{10D+25Q=1460}}}
From eq. 1,
{{{D=86-Q}}}
Substitute into eq. 2,
{{{10(86-Q)+25Q=1460}}}
{{{860-10Q+25Q=1460}}}
{{{15Q=600}}}
{{{highlight(Q=40)}}}
Then from eq. 1,
{{{D+40=86}}}
{{{highlight(D=46)}}}