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IrinaK [193]
3 years ago
10

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%.
Mathematics
1 answer:
monitta3 years ago
8 0

Kelly's science score is 72%.

Kelly's literature score is 90%.

<u>Step-by-step explanation:</u>

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

<u>To find the science score :</u>

⇒ 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%.

<u>To find the literature score :</u>

Kelly’s literature score is 1.25x

Substitute x = 72,

⇒ 1.25 × 72

⇒ 90

∴ Kelly's literature score is 90%.

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