Question

Parts of the proceeds from a garage sale was $435 worth of five dollars and $20 bills. If there were two more five dollar bills and $20 bills, find the number of each the Denomination

Answer 1

Answer: there were 19 five dollar bills and 17 20 dollar bills.

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