Kelly's science score is 72%.
Kelly's literature score is 90%.
Explanation:
It is given that,
Her literature score is 1.25 times her science score.
Let us assume that, her science score is x.
- Kelly’s science score is x
- Kelly’s literature score is 1.25x
- Kelly’s math score is 84%.
On a standardized test,
The final scores are calculated by averaging the math, science, and literature scores.
- We know that, her final score is 82%.
- Average = (Math + science + Literature) / 3
To find the science score :
⇒ 82 = (84 + x + 1.25x) / 3
⇒ 82 × 3 = (84 + 2.25x)
⇒ 246 = 84 + 2.25x
⇒ 246 - 84 = 2.25x
⇒ 162 = 2.25x
⇒ x = 162 / 2.25
⇒ x = 72
∴ Kelly's science score is 72%.
To find the literature score :
Kelly’s literature score is 1.25x
Substitute x = 72,
⇒ 1.25 × 72
⇒ 90
∴ Kelly's literature score is 90%.