How many different ways can you make $2.43 out of 5cent and 8cent stamps? Show all of the different combinations.

Answer 1

since 243 = 235+8, you can start with
47x5 + 1*8 = 243
Now, since LCM(5,8) = 40, start counting down by 8's and up by 5's
39*5 + 6*8 = 243
till you get below eight 5-cent stamps