Answer :
To find out how much "2" should score in Term 3 out of 100 to pass, we need to determine the required average for all terms and then solve for the Term 3 score. Let's break it down step by step.
Step 1: Calculate the total scores and average so far.
- Term 1 Score: 8 out of 40
- Term 2 Score: 12 out of 40
Let's find the average score of these two terms.
The total score for Term 1 and Term 2 is:
[tex]8 + 12 = 20[/tex]
The total possible score for the two terms is:
[tex]40 + 40 = 80[/tex]
So the average percentage score for the first two terms is:
[tex]\frac{20}{80} \times 100\% = 25\%[/tex]
Step 2: Determine the required average for passing.
The average pass percentage is 35%. This means the average score over the three terms (Term 1, Term 2, and Term 3 combined) should be 35%.
Step 3: Set up the equation to find the required Term 3 score.
Let’s denote the Term 3 score out of 100 as [tex]x[/tex]. The equation for the average score over the three terms is:
[tex]\frac{20 + x}{80 + 100} \times 100\% = 35\%[/tex]
This simplifies to:
[tex]\frac{20 + x}{180} \times 100 = 35[/tex]
Solving for [tex]x[/tex]:
[tex]\frac{20 + x}{180} = 0.35[/tex]
[tex]20 + x = 0.35 \times 180[/tex]
[tex]20 + x = 63[/tex]
[tex]x = 63 - 20[/tex]
[tex]x = 43[/tex]
Therefore, "2" should score 43 out of 100 in Term 3 to achieve an average of 35% across all terms.
