Let's assume
number of nickels =n
number of dimes =d
we are given
total number of coins =9
so, we get
[tex]n+d=9[/tex]
we know that
1 nickel =$ 0.05
and
1 dimes =$0.10
so, total amount is
[tex]=0.05\times n +0.10\times d[/tex]
we are given
total amount =$2.15
so, we get
[tex]0.05n +0.10d=2.15[/tex]
so, we get system of equations as
[tex]n+d=9[/tex]
[tex]0.05n +0.10d=2.15[/tex]................Answer