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Multistep: Bart and Sam played a game in which each player earns or loses points in each turn. A player's total score after two turns is the sum of his points earned or lost. The player with the greater score after two turns wins. Bart earned 123 points and lost 180 points. Sam earned 185 points and lost 255 points. Which person won the game? Explain.

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The sum of the points each person wins and loses tells you who won the game. Bart earned 123 points but lost 180 points, so his total is -57. Sam earned 185 points but lost 255 points, so his total is -70. Bart won the game.

Answer: Bart won the game.

Step-by-step explanation:

Since we have given that

Number of points Bart earned =123

Number of points Bart lost =(-) 180

( lost points as represented by negative integers )

So, his net points are given by

[tex]123-180\\=(-)57[/tex]

Similarly,

Number of points Sam earned = 185

Number of points Sam lost = (-)255

( lost points as represented by negative integers )

So, his net points are given by

[tex]185-255\\=(-)70[/tex]

Since we know that  in case of negative integers ,

[tex]-57>-70[/tex]

i.e

(-)57 is greater than (-)70

So, Bart won the game .

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