Covering deficits with values with different weights

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SO I have a couple of assessments with specific weights as follows:

  • Assignment 1: 5% => Mark 60%
  • Assignment 2: 5% => Mark 53%
  • Assignment 3: 5%
  • Assignment 4: 5%
  • Test 1: 30% => 47%
  • Test 2: 30%
  • Practical 1: 10% => 66%
  • Practical 2: 10%

Currently the average of the assessments with marks is 52.7%. However My target is to get a final mark of 60%, therefore i am currently 7.3% below my target.How do i assign this deficit to the remaining assessments taking into consideration the different weights of these assessments?

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Lets look at it like you need a total of $60$ percentage points. Right now you have $$.05(60)+.05(53)+.3(47)+.1(66)=26.35\text{ percentage points}$$

So, you need to now achieve $$.05(\text{A3})+.05(\text{A4})+.3(\text{T2})+.10(\text{P2})$$ such that the sum of that expression is $33.65$.

If you are looking for what single grade could you score on them all and achieve your goal, you can simplify it to $$.5A=33.65\\A=67.3$$

But obviously you could do slightly better on the test and much worse on the others and pass that way too.