Question

I need to match the weight of 285.

I can only use these numbers to match it. Which numbers can I combine to get 285?
7kg
9 kg
25 kg
100kg
13 Kg

Answer 1

Answer with step-by-step explanation:

We need to match the weight of 285 using the following numbers only:

`7 kg , 9 kg , 2 5 kg , 1 0 0 kg , 1 3 kg`

There are numerous ways to combine these weights to get a total weight of 285. Below are a few way listed:

`100 + 25 + 25 + 25+ 25 + 13 + 1 3 + 9 = 285`

`100 + 100 + 2 5 + 2 5 + 1 3 + 1 3 + 9 = 2 8 5`

`1 0 0 + 1 0 0 + 1 3 + 1 3 + 1 3 + 9 + 9 + 7 + 7 + 7 + 7 = 2 8 5`

Answer 2

100 + 100 + 25 + 25 + 13 + 13 + 9

Explanation:

There are 334 ways to do it. The answer shown above is shortest sum. Perhaps the longest is 6×9 + 33×7, for a total of 6 + 33 = 39 numbers.

_____

Given the above sum, certain replacements can be made:

13 + 13 + 9 = 7 + 7 + 7 + 7 + 7

25 = 9 + 9 + 7

25 + 25 = 13 + 9 + 7 + 7 + 7 + 7

25 + 25 + 25 = 13 + 13 + 13 + 9 + 9 + 9 + 9

100 = 25 + 25 + 25 + 25

These can be iterated to whatever depth or combination may tickle your fancy.