Online+Collaboration

Imagine you have two of each of the 'weights' above. Different combinations of the weights available allow you to make different totals. Here are some examples:
B + C = 6 B + 2C = 15 A + 2B + C = 4 2A + B + 2C + D = -10  The largest total you can make is 20 (check you agree). The smallest total you can make is -60 (again, check you agree).

**11/8 Ainslie says**: The smallest total would have to be made up of the ones and threes. I can't see how they get -60. The best I can get is -4. The largest total would have to be made up of the two 27's and two 9's, but I keep getting -36 which is closer to the smallest total. What am I doing wrong?

Can you make all the numbers in between? Can you show us how?

**11/8 Ainslie says:** I can obvious ly make -36 by 2D + 2C = -36. 2A + 2B = -4

Is there always a unique way of producing a total, or can different combinations produce the same total?