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Every jump a game piece makes measures 8 9 . The piece starts at point A = 7 and jumps to the right. As soon as the piece jumps over B = 24, it switches direction and jumps to the left. The piece then stops at point A. How many jumps did the game piece take?

Answer :

Answer:

The number of jumps that the game piece took, was 40.

Step-by-step explanation:

Every jump a game piece makes measures [tex]\frac{8}{9} = 0.889[/tex].

Now, the piece starts at point A = 7 and jumps to the right.

So, the number of jumps required by the piece to jump over B = 24 will be

[tex]\frac{24 - 7}{0.889} = 19.122[/tex] jumps ≈ 20 jumps {As the piece crosses the point B}

Now, as soon as the piece jumps over B = 24, it switches direction and jumps to the left. And the piece then stops at point A.

Therefore, the number of jumps that the game piece took, was (20 × 2) = 40. (Answer)

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