Question 74304
{{{5N}}} is the value of all the nickels
{{{10D}}} is the value of all the dimes
{{{5N + 10D = 350}}}
It is given that
{{{N + D = 50}}}
{{{N = 50 - D}}}
Therefore
{{{5(50 - D) + 10D = 350}}}
{{{250 - 5D + 10D = 350}}}
{{{5D = 100}}}
{{{D = 20}}}
{{{N = 50 - D}}}
{{{N = 50 - 20}}}
{{{N = 30}}}
So, there are 30 nickels and 20 dimes