Answer: there were 19 five dollar bills and 17 20 dollar bills.
Step-by-step explanation:
Let x represent the number of five dollar bills that were received.
Let y represent the number of twenty dollar bills that were received.
Parts of the proceeds from a garage sale was $435 worth of five dollars and $20 bills. This means that
5x + 20y = 435 - - - - - - - - - - -1
If there were two more five dollar bills than $20 bills, it means that
x = y + 2
Substituting x = y + 2 into equation 1, it becomes
5(y + 2) + 20y = 435
5y + 10 + 20y = 435
25y = 435 - 10 = 425
y = 425/25 = 17
x = y + 2 = 17 + 2
x = 19
