Question

on the first four tests of the term your average is 84%. You think you can score 96% on each of the remaining tests. How many consecutive test scores of 96% would need to bring your average up to 90% for the term? I am learning about rational equations if that helps.

Answer 1

4

Answer 2

how

Answer 3

well the way I did it was the average of 96 and 84 is 90 because (84+96)/2=90

So if you have 4 84's then you have to balance it out with 4 96's. You take 84*4+96*4 and that equals 720 then divide that by the total number of tests which is 8 and that equals 90.

Answer 4

\[\frac{84*4 + 96n}{4+n} = 90\]
solve for n
multiply (4+n) on both sides
then distribute and combine like terms
\[84*4 + 96n = 90n + 90*4\]
\[6n = 4(90-84)\]
\[n=4\]

Answer 5

thanks

Answer 6

Thanks dumbcow I couldn't remember the equation I just did it by logic.

Answer 7

no prob