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Put aside that three extra $5 bills.
Then you have an updated collection of equal number of $5 and $20 dollars bills, and this collection is worth 265 - 15 = 250 dollars.
Now you can group $5 and $20 dollar bills in sets containing one $5-dollar bill and one $20-dollar bill.
Each set is worth $25, and the number of sets is
= 10.
So, the original collection contains 10 of $20-dollar bills and 10+3 = 13 of $5-dollar bills. ANSWER
Solved.