9514 1404 393
Answer:
- 85 ones
- 70 fives
- 15 tens
- 2 fifties
Step-by-step explanation:
Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...
   a +5b +10c +50d = 685 . . . . . total amount of cash
   b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens
   a = b+c . . . . . . . . . . . as many ones as fives and tens combined
   d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills
__
Substituting for 'a', then for 'b', we have ...
   (b+c) +5b +10c +50d = 685
   6(10 +4c) +11c +50d = 685
   60 +35c +50d = 685
Substituting d=2 and subtracting 160 gives ...
   35c = 525
   c = 15
   b = 10 +4c = 10 +4(15) = 70
   a = b+c = 70 +15 = 85
The register contained ...
- 85 ones
- 70 fives
- 15 tens
- 2 fifties