Answer:
Seth has 21 nickels
Step-by-step explanation:
Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.
Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then
[tex]5n+10(n-8)=235.[/tex]
Solve this equation:
[tex]5n+10n-80=235,\\ \\15n=235+80,\\ \\15n=315,\\ \\n=21.[/tex]
