A student took 5 model exams and scored 85, 88, 90 and 92 in four subjects namely English, Geography, Economics and History exams respectively. She did not know her score in mathematics exam but she knew that her mean score in all five exams is 90. What is her score in mathematics?
Question
A student took 5 model exams and scored 85, 88, 90 and 92 in four subjects namely English, Geography, Economics and History exams respectively. She did not know her score in mathematics exam but she knew that her mean score in all five exams is 90. What is her score in mathematics?
Solution
To find the student's score in mathematics, we first need to find the total score of all five exams. We do this by multiplying the mean score by the number of exams.
Step 1: Total score of all five exams = Mean score * Number of exams = 90 * 5 = 450
Next, we need to find the total score of the four known exams.
Step 2: Total score of four exams = Score in English + Score in Geography + Score in Economics + Score in History = 85 + 88 + 90 + 92 = 355
Finally, we subtract the total score of the four known exams from the total score of all five exams to find the score in mathematics.
Step 3: Score in Mathematics = Total score of all five exams - Total score of four exams = 450 - 355 = 95
So, the student's score in mathematics is 95.
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