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In Mathematics / Middle School | 2014-11-26

Andrew has the following marks:

- English: 82%
- French: 75%
- History: 78%
- Science: 80%

What mark will Andrew need in math if he wants his mean mark to be:

i) 80%
ii) 81%
iii) 82%

Asked by flames10

Answer (3)

To find Andrew's mean mark, we need to calculate the sum of his marks and divide by the number of subjects. Andrew has marks in English, French, History, and Science. So, the sum of his marks is 82 + 75 + 78 + 80 = 315. And since there are four subjects, the mean mark is 315/4 = 78.75.
To find out what mark Andrew needs in Math to have a mean mark of each percent, we need to solve the equation:
(315 + x) / 5 = each_percent
where x is the mark Andrew needs in Math and each_percent can be 80, 81, or 82.
Solving this equation for each value of each_percent, we find:
i) x = 80 × 5 - 315 = 385 - 315 = 70
ii) x = 81 × 5 - 315 = 405 - 315 = 90
iii) x = 82 × 5 - 315 = 410 - 315 = 95
Therefore, Andrew will need a mark of 70% in Math if he wants his mean mark to be 80%, a mark of 90% if he wants his mean mark to be 81%, and a mark of 95% if he wants his mean mark to be 82%

Answered by Qwpanda | 2024-06-19

i) 85%
ii) 90%
iii) 95%
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Answered by joy123333 | 2024-06-24

Andrew needs to score 85% in math to achieve an 80% mean, 90% for an 81% mean, and 95% for an 82% mean. This is calculated based on his current total of 315% across four subjects. The required math score was determined by setting up equations for the desired mean percentages.
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Answered by joy123333 | 2025-01-09