The Big Favour Bean Challenge SOLVED!
We challenged KZN to a problem sum and you (with the help of AI) managed to solve it! Here's the answer...
Yesterday we spilled beans.
KwaZulu-Natal loved the challenge, while some people found it difficult.
So, here’s the neat, friendly walkthrough that gets you the answer without drama.
The challenge (short version):
You start with 444 154 sugar beans in a bag. The bag tears and beans fall out as you walk: 1 bean in the 1st metre, 2 in the 2nd, 3 in the 3rd, and so on (one more bean per metre). How many metres will you have walked when only 1 bean is left in the bag?
Step 1: Turn the story into Maths
Step 2: Clear the fraction
Step 3: Use the quadratic formula
Take the positive root:
k = (-1 + 1885) / 2 = 1884 / 2 = 942
Verification:
942 × 943 / 2 = 444 153
and 444 154 − 444 153 = 1 bean remaining
So, its 942 metres!
How did you do?
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