Homework

HW 1:	Oct 4
Sec. 1.1:	17, 29, 32, 35
Sec. 1.2:	10, 21, 31, 35, 39, 49, 51
Sec. 1.3:	4, 12, 18, 23, 24

Hints:
Sec. 1.2 #49: Recall that we can write any 3-digit number as the sum \(100*x+10*y+z\) where \(x,y\) and \(z\) are the digits. For example \(308\) can be written as \(100*3+10*0+8\) in this case \(x =3, y = 0\) and \(z = 8\).
Sec. 1.2 #51: Let \(x_1, x_2, x_3\) be the initial amount of money players one, two and three respectively had. Also assume that player one losses the first round, player two the second round and player three the last round. Then subtract or add the amount of money each player would have in terms of the unknowns in each step. In the last step the amount of money each of the have would equal \(24\). These relations yield a linear system.