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Linda has taken four Mathematics tests so far this year. Each test has been out of 20 marks, and her average mark has been 15. What mark Linda has to score in the 5th test in order to bring her average score to 16?

Question

Linda has taken four Mathematics tests so far this year. Each test has been out of 20 marks, and her average mark has been 15. What mark Linda has to score in the 5th test in order to bring her average score to 16?

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Solution 1

To solve this problem, we first need to find out how many total marks Linda has scored so far.

Step 1: Calculate total marks so far Since her average mark is 15 and she has taken 4 tests, we multiply 15 by 4 to get 60 marks.

Step 2: Calculate desired total marks Next, we need to find out how many total marks she needs to have an average of 16 after 5 tests. We multiply 16 by 5 to get 80 marks.

Step 3: Calculate required mark for the 5th test Finally, we subtract the total marks she has so far (60) from the desired total marks (80) to find out what mark she needs on the 5th test.

80 - 60 = 20

So, Linda needs to score 20 on her 5th test to bring her average score to 16.

This problem has been solved

Solution 2

Sure, here's how to solve this problem:

Step 1: Calculate the total marks Linda has scored so far. Since her average mark is 15 and she has taken 4 tests, her total marks are 15 * 4 = 60.

Step 2: Calculate the total marks Linda needs to have an average score of 16 after 5 tests. This would be 16 * 5 = 80.

Step 3: Subtract the total marks Linda has scored so far from the total marks she needs to get an average of 16. This will give us the mark she needs to score on the 5th test. So, 80 - 60 = 20.

Therefore, Linda needs to score 20 on her 5th test to bring her average score to 16.

This problem has been solved

Solution 3

Sure, here's how to solve this problem:

Step 1: Calculate the total marks Linda has scored so far. Since her average mark is 15 and she has taken 4 tests, her total marks are 15 * 4 = 60.

Step 2: Calculate the total marks Linda needs to have an average of 16 after 5 tests. This would be 16 * 5 = 80.

Step 3: Subtract the total marks Linda has scored so far from the total she needs to find out what mark she needs on the 5th test. This would be 80 - 60 = 20.

So, Linda needs to score 20 on her 5th test to bring her average score to 16.

This problem has been solved

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