Question

I need to match the weight of 285.

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

Answer:

   100 + 100 + 25 + 25 + 13 + 13 + 9

Step-by-step 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.

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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.