Have you ever come across a riddle so seemingly simple, yet tricky enough to make you second-guess your calculations? This riddle challenges you to find the cost of a bottle of water when a chocolate bar and the bottle together cost 110 coins, and the chocolate bar alone costs 100 coins more than the water. Think you can figure it out? Give it a try, then compare your reasoning to the step-by-step solution below!
How Much Is the Bottle of Water?
Here’s the puzzle in plain terms:
- You have a chocolate bar and a bottle of water.
- Together, they cost 110 coins in total.
- The chocolate bar alone costs 100 coins more than the bottle of water.
Question: How much does the bottle of water cost?
Feel free to share your initial guess in the comments before looking at the solution. Let’s see how quickly you can crack it!
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Common Mistakes and Why Details Matter
Jumping to Quick Conclusions
Many people hastily assume the water costs 10 coins and the chocolate bar costs 100 coins, which adds up to 110. But this scenario overlooks the fact that the chocolate bar is supposed to cost 100 coins more than the water.
Misreading the Price Difference
It’s easy to confuse “costing 100 coins more” with “costs 100 coins.” This small detail can drastically change the math.
Overlooking Simple Algebra
Some might overcomplicate the puzzle instead of breaking it down into a basic equation—often leading to the wrong answer.
Step-by-Step Solution
Let x = cost of the bottle of water
Then, the chocolate bar costs = x + 100
Their total cost is given by:
- x + (x + 100) = 110
Simplify the equation:
- 2x + 100 = 110
Subtract 100 from both sides:
- 2x = 10
Divide both sides by 2:
- x = 5
Answer: The bottle of water costs 5 coins.
Conclusion
Now that you’ve seen the step-by-step explanation, how does it compare with your initial reasoning? Did you guess 10 coins at first or did you arrive at 5 coins right away? Share your experience and any insights you have in the comments below.
Finally, if you enjoyed this brain teaser, keep pushing your problem-solving skills with more riddles. Each puzzle you solve helps fine-tune your logical thinking and attention to detail—essential skills for tackling everyday challenges. So, challenge yourself often and happy puzzling!
