Question 656933
Call $1 bills x and $5 bills y.  With the given info there are two equations and two unknowns.  That's easily solved.<P>
x+y = 17 - that expresses the number of bills.<P>
1x + 5y = 53.  <P>
Solve the first for x in terms of y and substitute that into the second.<P>
x = 17 - y<P>
17 - y + 5y =53<P>
17 +4y = 53<P>
4y = 36<P>
y = 9<P>
Substitute that back into the first equation:  x + 9 = 17 and then x = 8<P>