Suppose you spend $23 and you pay with a $50 bill. the cashier gives you your change in bills. list all the different ways you can receive your correct change if you will not take more than 10 bills and the cashier only had 1s, 5s, and 10s.

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?