SOLUTION: A bank teller was to cash a check for $260 with three times as many one-dollar bills as five's and half as many tens as five's. What denominations of cash should the teller have gi
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Question 175617: A bank teller was to cash a check for $260 with three times as many one-dollar bills as five's and half as many tens as five's. What denominations of cash should the teller have given? Found 2 solutions by EMStelley, josmiceli:Answer by EMStelley(208) (Show Source):
You can put this solution on YOUR website! Call the number of five's F. Then there are 3F one-dollar bills and (1/2)F ten dollar bills. The dollar amount of fives is 5F, one's is 1(3)F and tens is 10(1/2)F. So
5F + 1(3)F + 10(1/2)F = 260
5F + 3F + 5F = 260
13F = 260
F = 20
20 Fives
60 Ones
10 Tens
You can put this solution on YOUR website! Let = number of 1's
Let = number of 5's
Let = number of 10's
given:
---------------
Substituting:
since:
and
The teller gave 60 1's, 20 5's, and 10 10,s
check:
OK
