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### Given that your grade for your computing is based on 5 coursework that weigh differently, and you know the results of 4: 80, 75, 50 and 90 which weighs 10%, 20%, 45% and 5%. What grade do you need in your last coursework to achieve at least a B (70%)?

You know the following:

A) 80, 10%

B) 75, 20%

C) 50, 45%

D)  90, 5%

E)  X, (100-10-20-45-5)% = 20%

Therefore, create a formula with the facts given and the mean marks must be at least 70.

Note that 10% is equivalent to 0.10 and X is the mark you will need to get to achieve a B.

=>  80 x 0.10 + 75 x 0.20 + 50 x 0.45 + 90 x 0.05 + X x 0.20 >= 70

Rearranging the equation you get:

X x 0.20 >= 70 x 5 - (80 x 0.10 + 75 x 0.20 + 50 x 0.45 + 90 x 0.05)

0.20X >= 20

X >= 100

Therefore, the student will need to achieve exactly 100 (since the maximum mark allowed in the coursework is 100) in his final coursework to obtain a B which is highly unlikely to happen, so the student should have worked harder on his 3rd coursework which weighs 45%.

1 year ago

Answered by Chen, a GCSE Maths tutor with MyTutor

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