Problema Solution
on a standardized test the final scores are calculated by averaging the math, science, and literature scores. Kelly's math score is 84%, and her literature score is 1.25 times her science score.Find her science and literature scores if her final score is 82%.
Answer provided by our tutors
If her final score is 82% then, taking each exam to be out of 100 then out of the 300 total marks, she earned 246.
On her maths she earned 84/100 and her literature score was 1.25 times her science score. If we take M = 84 to be her maths score, L to be her literature score and S to be her science score then we also have L = 1.25S
This gives T = 246 her total score as
T = M + S + L
246 = (84) + S + (1.25S)
Combining the S coefficients and subtracting 84 from each side gives
162 = 2.25S
This gives us S=72, therefore her literature score was L=90
We now have all three results, Maths=84%, Science = 72% and Literature = 90%