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Four players are playing a game together. They each gain or lose points based on their actions.
Ahab loses 5 points for letting a fish get away.
Cam gains 10 points for collecting a mushroom.
Ella loses 100 points for disturbing a bear.
Gigi gains 80 points for building a fire.
Whose action has the greatest effect on their scores?
Choose 1 answer:
(A) Ahab's
(B) Cam's
(c) Ella's
(D) Gigi's

Four players are playing a game together. They each gain or lose points based on their actions. $\newline$ Ahab loses $5$ points for letting a fish get away. $\newline$ Cam gains $10$ points for collecting a mushroom. $\newline$ Ella loses $100$ points for disturbing a bear. $\newline$ Gigi gains $80$ points for building a fire. $\newline$ Whose action has the greatest effect on their scores? $\newline$ Choose $1$ answer: $\newline$ (A) Ahab's $\newline$ (B) Cam's $\newline$ (C) Ella's $\newline$ (D) Gigi's

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Quantities that combine to zero: word problems

Full solution

Q. Four players are playing a game together. They each gain or lose points based on their actions.

\newline

Ahab loses

5

points for letting a fish get away.

\newline

Cam gains

10

points for collecting a mushroom.

\newline

Ella loses

100

points for disturbing a bear.

\newline

Gigi gains

80

points for building a fire.

\newline

Whose action has the greatest effect on their scores?

\newline

Choose

1

answer:

\newline

(A) Ahab's

\newline

(B) Cam's

\newline

(C) Ella's

\newline

(D) Gigi's

Evaluate Ahab's Action: Evaluate the effect of Ahab's action on his score. Ahab loses $5$ points, which is a negative effect on his score. Calculation: $-5$ points
Evaluate Cam's Action: Evaluate the effect of Cam's action on his score. $\newline$ Cam gains $10$ points, which is a positive effect on his score. $\newline$ Calculation: $+10$ points
Evaluate Ella's Action: Evaluate the effect of Ella's action on her score. Ella loses $100$ points, which is a significant negative effect on her score. Calculation: $-100$ points
Evaluate Gigi's Action: Evaluate the effect of Gigi's action on her score. Gigi gains $80$ points, which is a significant positive effect on her score. Calculation: $+80$ points
Compare Players' Effects: Compare the effects of each player's actions to determine which has the greatest effect. $\newline$ Ahab's effect: $-5$ points $\newline$ Cam's effect: $+10$ points $\newline$ Ella's effect: $-100$ points $\newline$ Gigi's effect: $+80$ points $\newline$ The greatest effect in terms of absolute value is Ella's loss of $100$ points.

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