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## a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10

Question

a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?

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Mathematics
6 months
2021-08-10T01:34:03+00:00
2021-08-10T01:34:03+00:00 2 Answers
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## Answers ( )

85 ones

70 fives

15 tens

2 fifties9514 1404 393

Answer: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 ones70 fives15 tens2 fifties