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A student scores 70, 80, and 90 in three tests. If he wants an average of 85 aft

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Question: A student scores 70, 80, and 90 in three tests. If he wants an average of 85 after the fourth test, what must he score?

Options:

  1. 85
  2. 90
  3. 95
  4. 100

Correct Answer: 95

Solution:

Total score needed for average of 85 = 4 * 85 = 340. Current total = 70 + 80 + 90 = 240. Score needed = 340 - 240 = 100.

A student scores 70, 80, and 90 in three tests. If he wants an average of 85 aft

Practice Questions

Q1
A student scores 70, 80, and 90 in three tests. If he wants an average of 85 after the fourth test, what must he score?
  1. 85
  2. 90
  3. 95
  4. 100

Questions & Step-by-Step Solutions

A student scores 70, 80, and 90 in three tests. If he wants an average of 85 after the fourth test, what must he score?
  • Step 1: Understand that the average score is calculated by adding all the scores together and dividing by the number of tests.
  • Step 2: The student has taken 3 tests and wants to find out what score he needs on the 4th test to achieve an average of 85.
  • Step 3: Calculate the total score needed for an average of 85 after 4 tests. This is done by multiplying the desired average (85) by the number of tests (4). So, 85 * 4 = 340.
  • Step 4: Calculate the current total score from the first three tests. Add the scores: 70 + 80 + 90 = 240.
  • Step 5: To find out what score is needed on the 4th test, subtract the current total score (240) from the total score needed (340). So, 340 - 240 = 100.
  • Step 6: The student must score 100 on the 4th test to achieve an average of 85.
  • Average Calculation – Understanding how to calculate the average score by dividing the total score by the number of tests.
  • Total Score Requirement – Determining the total score needed to achieve a desired average over a set number of tests.
  • Basic Arithmetic – Performing addition and subtraction to find the required score for the fourth test.
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