Math Puzzles

Puzzle solution P2

Reading Time: 1 minutes

The cost of the bat is not ₹10 although it is mentioned that the bat costs ₹10 more than the ball.

Let’s revisit the question:

A toy bat and a toy ball together cost ₹11. The cost of the bat is ₹10 more than the ball. What is the cost of the bat?

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It is quite easy to assume that the bat is ₹10 and the ball is ₹1 which would make the combo equal to ₹11. But, the given condition in the question will not be met if we assume these values.

The bat costs ₹10 more than the ball.

Since the ball is ₹1, then the cost of the bat alone would become ₹(1+10)=11 which is not correct because, the price of both together should be ₹11.

Here’s how to analyse this situation.

Let us assume that the ball costs “R” rupees. Then the bat would cost ₹(R+10)

So, if we look at the total cost,

R+(R+10) = 11 => 2R= 11 – 10

2R=1 => R= ½ = 0.5

Since R represents the cost of the ball which is half a rupee (50p), the cost of the bat would be ₹10.50

Congratulations if you got the correct answer!

 

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Meryl Vincent

Campaign Associate at Cuemath
Meryl is the resident blogger at Cuemath. She works with Cuemath teachers and students to bring out their math related stories. Apart from this, she also collaborates with the Curriculum team at Cuemath to bring out the fascinating side of math through articles and contests. You can contact her on meryl@cuemath.com for any blog related enquiry.

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