in the first week, lisa got 1 out of 5 problems correct whereas bart got 5 out of 20 problems...

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In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining 25 problems correct, whereas Bart got 6 out of the remaining 10 problems correct.

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Page 1: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining 25 problems correct, whereas Bart got 6 out of the remaining 10 problems correct.

Page 2: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart1 out of 5 5 out of 20

13 out of 25 6 out of 10

In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining 25 problems correct, whereas Bart got 6 out of the remaining 10 problems correct.

Page 3: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart1 out of 5 5 out of 20

13 out of 25 6 out of 10

= 25%

610 = 60%

520

15 = 20%

1325 = 52%

Page 4: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart1 out of 5 5 out of 20

13 out of 25 6 out of 10

= 25%

610 = 60%

520

15 = 20%

1325 = 52%

Page 5: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart1 out of 5 5 out of 20

13 out of 25 6 out of 10

15 = 20%

1325 = 52%

= 25%

610 = 60%

520

Overall

14 out of 30 11 out of 30

1130 = 36.7%14

30 = 46.7%

Page 6: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart1 out of 5 5 out of 20

13 out of 25 6 out of 10

15 = 20%

1325 = 52%

= 25%

610 = 60%

520

Overall

14 out of 30 11 out of 30

1130 = 36.7%14

30 = 46.7%

Page 7: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart1 out of 5 is 20%

13 out of 25 is 52%

14 out of 30 is 46.7%

Overall

11 out of 30 is 36.7%

5 out of 20 is 25%

6 out of 10 is 60%

Page 8: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart1 out of 5 is 20%

13 out of 25 is 52%

14 out of 30 is 46.7%

Overall

20% 25%

52% 60%

11 out of 30 is 36.7%

5 out of 20 is 25%

6 out of 10 is 60%

Page 9: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart1 out of 5 is 20%

13 out of 25 is 52%

14 out of 30 is 46.7%

Overall

20% 25%

52% 60%

Average of 20% and 52% is 36%

11 out of 30 is 36.7%

Average of 25% and 60% is 42.5%

5 out of 20 is 25%

6 out of 10 is 60%

Page 10: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart

Overall

20% 25%

52% 60%

Average of 20% and 52% is 36%

Average of 25% and 60% is 42.5%

14 out of 30 is 46.7%

11 out of 30 is 36.7%

1 out of 5 is 20%

13 out of 25 is 52%

5 out of 20 is 25%

6 out of 10 is 60%

Page 11: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa Bart

Overall

20% 25%

52% 60%

Average of 20% and 52% is 36%

Average of 25% and 60% is 42.5%

14 out of 30 is 46.7%

11 out of 30 is 36.7%

1 out of 5 is 20%

13 out of 25 is 52%

5 out of 20 is 25%

6 out of 10 is 60%

Each item worths 20 pts

Each item worths

4 pts

Each item

worths 3.33 pts

Each item

worths 5 pts

Each item

worths 10 pts

Each item

worths 3.33 pts

Page 12: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Lisa Bart

Overall

Average of 20% and 52% is 36%

Average of 25% and 60% is 42.5%

14 out of 30 is 46.7%

11 out of 30 is 36.7%

Contributes43.33 pts Contributes

26 pts

Contributes10 pts

Contributes3.33 pts

Contributes20 pts Contributes

30 pts

Contributes12.5 pts

Contributes16.67 pts

Page 13: In the first week, Lisa got 1 out of 5 problems correct whereas Bart got 5 out of 20 problems correct. In the second week, Lisa got 13 out of the remaining

Week

1

Week

2

Lisa1 out of 5

13 out of 25

We can compute Lisa’s overall score by using weighted average: Score = W1 0.20 + W2 0.52.

What should the value of the weights W1 and W2?

20%

52%