Lauren has two tests
test A is marked out of 40 and contributes to 40%of her total grade
test B is marked out of 60 and contributes to 60%of her total grade
if lauren get 32 out of 40 on test A
how many marks does lauren have to get on test B to acheive a 50% pass
Maybe I’ve oversimplified this, but it seems that the way you set it up each point = 1% of her grade. So, 50-32=18. She needs 18/60 on her other test.
Did I just do your homework?
What’s more fun would be if Test A was worth 60% and Test B was worth 40%, in which case each point on test A would be worth 3/2 of percentage point and test B would be worth 2/3 a percentage point. Under these conditions she’s just need 5/60 on the second test. (rounded from 4.5/60)
If anybody actually cares about the generalized solution to these types of problems when they’re not so straight forward, it’s simply a matter of summing the products of your test scores and their weightings.
-Make sure all your weights add up to 100, then write:
Interesting. The way I’ve generally seen it done is certainly simpler. Assuming your grade in a semester is “how many points you got”/“total possible points” in order to weigh a test higher you just make each problem worth 2 or 3 points and lower weighted assignment problems worth 1/2 or 1 point each.