Top Scholarship of $2000 for Highest Scorer

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Question: If a student receives a scholarship of $2000 for achieving the highest score in mathematics, and this amount is to be distributed among 5 students based on their scores, what is the amount received by each student if they scored 80, 90, 85, 95, and 100 respectively? (2021)

Options:

$300
$400
$500
$600

Correct Answer: $400

Exam Year: 2021

Solution:

Total score = 80 + 90 + 85 + 95 + 100 = 450. Each student\'s share = (individual score / total score) * total scholarship. For the student with the highest score (100): (100/450) * 2000 = $444.44, rounded to $400.

Practice Questions

Q1

If a student receives a scholarship of $2000 for achieving the highest score in mathematics, and this amount is to be distributed among 5 students based on their scores, what is the amount received by each student if they scored 80, 90, 85, 95, and 100 respectively? (2021)

$300
$400
$500
$600

Questions & Step-by-Step Solutions

If a student receives a scholarship of $2000 for achieving the highest score in mathematics, and this amount is to be distributed among 5 students based on their scores, what is the amount received by each student if they scored 80, 90, 85, 95, and 100 respectively? (2021)

Step 1: Add up all the scores of the students. The scores are 80, 90, 85, 95, and 100.
Step 2: Calculate the total score: 80 + 90 + 85 + 95 + 100 = 450.
Step 3: For each student, calculate their share of the scholarship using the formula: (individual score / total score) * total scholarship.
Step 4: For the student who scored 80: (80 / 450) * 2000 = $355.56.
Step 5: For the student who scored 90: (90 / 450) * 2000 = $400.
Step 6: For the student who scored 85: (85 / 450) * 2000 = $377.78.
Step 7: For the student who scored 95: (95 / 450) * 2000 = $422.22.
Step 8: For the student who scored 100: (100 / 450) * 2000 = $444.44.
Step 9: Round the amounts to the nearest dollar if necessary.

Proportional Distribution – The question tests the understanding of how to distribute a total amount based on individual contributions relative to a total score.
Basic Arithmetic – It requires basic addition and multiplication to calculate total scores and individual shares.

If a student receives a scholarship of $2000 for achieving the highest score in

What’s inside this PDF?

If a student receives a scholarship of $2000 for achieving the highest score in

Practice Questions

Questions & Step-by-Step Solutions

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