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Four players are playing a game together. They each gain or lose points based on their actions.
Amani gains 50 points for finding a green mushroom.
Ajeet gains 100 points for completing a level.
Damian loses 100 points for getting hit by a fireball.
Julius loses 75 points for stepping on a spike.
Which two friends had the same amount of change to their scores?
Choose 1 answer:
A) Amani and Ajeet
(B) Damian and Julius
(C) Amani and Julius
(D) Ajeet and Damian

Four players are playing a game together. They each gain or lose points based on their actions.\newlineAmani gains 5050 points for finding a green mushroom.\newlineAjeet gains 100100 points for completing a level.\newlineDamian loses 100100 points for getting hit by a fireball.\newlineJulius loses 7575 points for stepping on a spike.\newlineWhich two friends had the same amount of change to their scores?\newlineChoose 11 answer:\newline(A) Amani and Ajeet\newline(B) Damian and Julius\newline(C) Amani and Julius\newline(D) Ajeet and Damian

Full solution

Q. Four players are playing a game together. They each gain or lose points based on their actions.\newlineAmani gains 5050 points for finding a green mushroom.\newlineAjeet gains 100100 points for completing a level.\newlineDamian loses 100100 points for getting hit by a fireball.\newlineJulius loses 7575 points for stepping on a spike.\newlineWhich two friends had the same amount of change to their scores?\newlineChoose 11 answer:\newline(A) Amani and Ajeet\newline(B) Damian and Julius\newline(C) Amani and Julius\newline(D) Ajeet and Damian
  1. Calculate Amani's Change: Calculate the change in points for Amani.\newlineAmani gains 5050 points.\newlineChange in points for Amani = +50+50 points.
  2. Calculate Ajeet's Change: Calculate the change in points for Ajeet.\newlineAjeet gains 100100 points.\newlineChange in points for Ajeet = +100+100 points.
  3. Calculate Damian's Change: Calculate the change in points for Damian.\newlineDamian loses 100100 points.\newlineChange in points for Damian = 100-100 points.
  4. Calculate Julius's Change: Calculate the change in points for Julius.\newlineJulius loses 7575 points.\newlineChange in points for Julius = 75-75 points.
  5. Compare Changes for Same Amount: Compare the changes in points to find which two friends had the same amount of change to their scores.\newlineAmani has +50+50 points, Ajeet has +100+100 points, Damian has 100-100 points, and Julius has 75-75 points.\newlineThe only two friends who had the same amount of change to their scores are Damian and Julius, both of whom lost points.\newlineDamian lost 100100 points and Julius lost 7575 points, so they did not have the same amount of change.\newlineThis is a mistake, as we are looking for two friends with the same amount of change, not just the fact that they both lost points.

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