Ones, Twos & Fives
Algebra
Level
3
Mr. Niceguy goes to a bank with a check of $ 200 and asks the cashier to give one-dollar bills, two-dollar bills ten times the count of one-dollar bill and the balance in fives! How many bills did Mr. Niceguy receive?
81
67
74
102
55
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1 solution
The smallest amount of one-dollar and two-dollar bills the cashier may give to the Mr. Niceguy is 1x1+10x2=21.
He must give the Mr. Niceguy a multiple of 21 i.e. 21,42,63,84,105,126,147,168 or 187; without exceeding 200.
Out of all these numbers only 105 can be added to a multiple of 5 to sum up 200 altogether (since he must give the balance in five-dollar bills).
Therefore, the cashier must give 5 one-dollar bills, 50 two-dollar bills and 19 five-dollar bills. Hence, 74 bills!