Malcom has $1043 in bills in the following denominations: hundreds,fifties,twenties,fives,and ones. He has three times as many fifties as hundreds;twelve times as many twenties as hundreds;and four times as many ones as hundreds. He has nine more fives than hundreds. How many of each denomination of bills does he have?

H, F , T , V, and O

100H + 50F + 20T + 5V+ O = 1043

3H = F

12H = T

4H = O

V = H + 9

sub in to give:

100H + 50(3H) + 20(12H) + 5(H + 9) + 4H = 1043

100H + 150H + 240H + 5H + 45 + 4H = 1043

499H+ 45 = 1043

499H = 998

H = 2

thus 2 hundreds ==> $200

6 fifties ==> $300

24 twenties ==> $480

8 ones ==> $8

11 fives ==> $55

total: $1043 checks