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QuestionJayden starts with 10 points, loses 20, then wins 45. What is her final score? Calculate: 10−20+4510 - 20 + 45.

Studdy Solution

STEP 1

Assumptions1. Jayden starts with10 points. . In the first round, she loses20 points.
3. In the second round, she wins45 points.

STEP 2

First, we need to find the score after the first round. We can do this by subtracting the points she lost from her initial score.
Score after first round=Initial score−Points lostScore\, after\, first\, round = Initial\, score - Points\, lost

STEP 3

Now, plug in the given values for the initial score and points lost to calculate the score after the first round.
Score after first round=10−20Score\, after\, first\, round =10 -20

STEP 4

Calculate the score after the first round.
Score after first round=10−20=−10Score\, after\, first\, round =10 -20 = -10

STEP 5

Next, we need to find the score after the second round. We can do this by adding the points she won to her score after the first round.
Score after second round=Score after first round+Points wonScore\, after\, second\, round = Score\, after\, first\, round + Points\, won

STEP 6

Now, plug in the given values for the score after the first round and points won to calculate the score after the second round.
Score after second round=−10+45Score\, after\, second\, round = -10 +45

STEP 7

Calculate the score after the second round.
Score after second round=−10+45=35Score\, after\, second\, round = -10 +45 =35The changes in Jayden's score are from10 to -10, and then from -10 to35.

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