Rashawn and Jessie are playing a game where they lose the same number of points that they would have earned for each incorrect answer. Rashawn answers two 3-point questions incorrectly, and Jessie answers four 2-point questions incorrectly. If neither player has answered a question correctly, who is ahead?

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Answer:

Rashawn is ahead.

Step-by-step explanation:

Given,

Rashawn answers two 3-point questions incorrectly,

So, the change in his/her points = 2 × -3 = -6

( Negative sign shows loss )

While, Jessie answers four 2-point questions incorrectly.

So, the change in his/her points = 4 × -2 = -8

Since,

-6 > -8

Also, initially they do have any point,

Hence, Rashawn is ahead.

Let's note that:

  • Each point for an incorrect answer carries a negative (-) sign.

Rashawn answers two 3-point questions incorrectly

  • This means the number of points Rashawn has answered incorrectly is

     2 x -3

     = -6 points

  • Jessie answers four 2-point questions incorrectly.

         This means the number of points Rashawn has answered incorrectly              is

        4 x -2

       = -8 points

Therefore, If neither player has answered a question correctly, the person who is ahead is Rashawn. This is because, on the number line, -6 comes before - 8.

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