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Balpreet's quiz scores in English are 80, 82, 79, and 84. Her quiz scores in History are 90 and 71. What is the sum of the scores she would need to get on her next English quiz and her next History quiz to raise each class' quiz score average to 85?

Question

Balpreet's quiz scores in English are 80, 82, 79, and 84. Her quiz scores in History are 90 and 71. What is the sum of the scores she would need to get on her next English quiz and her next History quiz to raise each class' quiz score average to 85?

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Solution

Sure, let's break it down step by step.

  1. First, we need to find the current average of Balpreet's scores in both English and History.

    For English: (80 + 82 + 79 + 84) / 4 = 81.25

    For History: (90 + 71) / 2 = 80.5

  2. Next, we need to find out how much Balpreet needs to score on her next quiz in each subject to raise her average to 85.

    For English: To raise her average to 85 after 5 quizzes, her total score needs to be 85 * 5 = 425. She has already scored 80 + 82 + 79 + 84 = 325. So, she needs to score 425 - 325 = 100 on her next English quiz.

    For History: To raise her average to 85 after 3 quizzes, her total score needs to be 85 * 3 = 255. She has already scored 90 + 71 = 161. So, she needs to score 255 - 161 = 94 on her next History quiz.

  3. Finally, we add the scores she needs to get on her next English and History quizzes to find the total score she needs.

    100 (English) + 94 (History) = 194

So, Balpreet would need a total of 194 on her next English and History quizzes to raise each class' quiz score average to 85.

This problem has been solved

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