Average pocket allowance of 6 students is rs 45.of these pocket allowa...
Given Information:
The average pocket allowance of 6 students is Rs 45. The pocket allowance of 5 students is given as follows: 20, 30, 22, 24, and 32.
Calculating the Sum of Pocket Allowances:
To find the pocket allowance of the 6th student, we need to calculate the sum of pocket allowances for all 6 students.
The average pocket allowance is the sum of pocket allowances divided by the number of students. So, we can calculate the sum by multiplying the average by the number of students:
Sum of pocket allowances = Average pocket allowance * Number of students
Substituting the given values, we have:
Sum of pocket allowances = Rs 45 * 6
Sum of pocket allowances = Rs 270
Calculating the Pocket Allowance of the 6th Student:
To find the pocket allowance of the 6th student, we subtract the sum of pocket allowances of the first 5 students from the total sum of pocket allowances.
Pocket allowance of 6th student = Total sum of pocket allowances - Sum of pocket allowances of 5 students
Substituting the given values, we have:
Pocket allowance of 6th student = Rs 270 - (20 + 30 + 22 + 24 + 32)
Pocket allowance of 6th student = Rs 270 - 128
Pocket allowance of 6th student = Rs 142
Conclusion:
The pocket allowance of the 6th student is Rs 142. This is obtained by calculating the sum of pocket allowances for all 6 students and then subtracting the sum of pocket allowances of the first 5 students from the total sum.