Answer:
64 nickels and 24 dimes
Step-by-step explanation:
Let there be x nickels and y dimes
The number of nickels is 8 less than 3 times the dimes
i.e. [tex]x = 3y-8[/tex]
Value of the coins = [tex]5x+10y[/tex]
= 560 cents (given)
Substitute x value in the second equation
[tex]5(3y-8)+10y = 560\\25y = 600\\y =24\\[/tex]
Substitute in
[tex]x = 3y-8\\=64[/tex]
There are 64 nickels and 24 dimes.
