Question 364485
Alex has {{{D}}} dimes and {{{N}}} nickels.
The total count is {{{D+N}}}.
Each dime is worth 10 and each nickel is worth 5.
Total value equation:
{{{10D+5N=95}}}
1.{{{2D+N=19}}}
.
.
Total coin count equation:
{{{D+N=1+2D}}}
2.{{{N=1+D}}}
Substitute eq. 2 into eq. 1,
{{{2D+(1+D)=19}}}
{{{3D=18}}}
{{{highlight(D=6)}}}
Then from eq. 2,
{{{N=1+6}}}
{{{highlight(N=7)}}}