Question 109840
n = number of nickels
d = number of dimes
{{{n + d = 50}}} there are 50 coins
{{{.05n + .1d = 3.50}}} The coins add up to $3.50
multiply this equation by 10
{{{.5n + d = 35}}}
Subtract this equation from the 1st one
{{{.5n = 15}}}
{{{n = 30}}} answer
{{{n + d = 50}}}
{{{30 + d = 50}}}
{{{d = 20}}} answer
Ther are 30 nickels and 20 dimes