Question 764629
x = Quarters
y = Nickels
x + y = 21...1
25x + 5y = 365...2
Multiply (1) by 5
5x + 5y = 105...3
25x + 5y = 365...2
Subtract (3) from (2)
20x      = 260
x        = 13
Substitute x = 13 in (1)
x + y = 21
13 + y = 21
     y = 8
So, there are 13 quarters and 8 nickels.
Hope this helps.
:-)