Solutions Problem 1. The area of a 72 x 65 piece of aluminum is only 4680 square inches, so this is not enough aluminum. The picture below shows that a piece of aluminum only 69 inches wide is necessary. The rectangle below is 69 inches wide. The rectangle is 72 inches high.
Superscripts indicate multiple copies.
Moreover, all lucky collections are of this form. Thus for every factorization of 100, there is an associated lucky collecti on with 1's added. Trial and error for the case of fewer 1's gives the other two lucky collections with 100 nu mbers. Awards were given to the top five teams. One of our majors, Nicole Mendez, hands out the awards, while one of our faculty members, Michael Branton, announces.