On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points.
What percent do you need on the final to earn 93% of the total points on all tests?
Since you need an average of 93%, therefore:
(93 X 4) - (88 + 90 + 94)=100%. Your final score has to be 100%, so that your average over 4 tests will be 93%.
(88 + 94 + 90)*150 + p*250 = 93*(3*150 + 250)
40800 + 250p = 65100
250p = 24300
p = 24300/250
p = 97.2%
Since his average on the first 3 tests was 90.67%, therefore he earned:
.9067 X 450=408 points on first 3 tests. But, since he needs to get 93% of the total of 700 points, then we have:93% X 700=651 points he must obtain overall. Therefore, 651 - 408=243 points out of 250 points in the final that he must get: Therefore 243/250=97.2% he must get in the final.