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The average marks obtained by Suvir in 1...

The average marks obtained by Suvir in 15 tests is 29. Ruchira is maintaining an average of 27 so far but has taken only 11 of the tests so far. How much does Ruchira have to score on an average in the remaining four tests to match Suvir's performance?

A

36

B

35.5

C

34.5

D

35

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we can follow these calculations: ### Step 1: Calculate Suvir's Total Marks Suvir's average marks in 15 tests is 29. To find the total marks obtained by Suvir, we use the formula for average: \[ \text{Total Marks} = \text{Average} \times \text{Number of Tests} \] So, for Suvir: \[ \text{Total Marks} = 29 \times 15 = 435 \] ### Step 2: Calculate Ruchira's Total Marks Ruchira's average marks in 11 tests is 27. Similarly, we calculate her total marks: \[ \text{Total Marks} = 27 \times 11 = 297 \] ### Step 3: Determine the Marks Needed for Ruchira Ruchira has 4 more tests to take, and we need to find out how many total marks she needs to match Suvir's total marks of 435. To find the marks Ruchira needs, we subtract her current total marks from Suvir's total marks: \[ \text{Marks Needed} = 435 - 297 = 138 \] ### Step 4: Calculate the Average Marks Required in the Remaining Tests Now, we need to find out what average marks Ruchira needs to score in the remaining 4 tests to achieve the total of 138 marks. We use the formula: \[ \text{Average Marks Required} = \frac{\text{Marks Needed}}{\text{Number of Remaining Tests}} \] So, we calculate: \[ \text{Average Marks Required} = \frac{138}{4} = 34.5 \] ### Conclusion Ruchira needs to score an average of **34.5 marks** in her remaining 4 tests to match Suvir's performance. ---
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