The number of students who attended the class from monday to saturday were consecutive integers the average number of students attending class from monday to wednesday is 34. find average number of students attending class from thursday to saturday

Clearly, attendance on M-W is 33,34,35

So, attendance on Th-Sat is 36,37,38 with average=37

Thank you steve

i found 31 and 37 as answers didn't understand how 31 is possible

Let's use a step-by-step approach to solve the problem.

Step 1: Let's assume that the number of students who attended the class on Monday is "x."
Step 2: Since the number of students attending the class from Monday to Wednesday is consecutive, the number of students attending the class on Tuesday will be "x + 1," and on Wednesday, it will be "x + 2."
Step 3: We know that the average number of students attending the class from Monday to Wednesday is 34. So, we can calculate the total number of students attending class from Monday to Wednesday as follows: (x + x + 1 + x + 2) / 3 = 34.
Step 4: Simplifying the equation, we have (3x + 3) / 3 = 34.
Step 5: Further simplifying, we get 3x + 3 = 102.
Step 6: Subtracting 3 from both sides, we have 3x = 99.
Step 7: Dividing both sides by 3, we get x = 99 / 3.
Step 8: Therefore, the number of students attending class on Monday is x = 33.
Step 9: Since the number of students attending class from Thursday to Saturday is consecutive, the number of students attending class on Thursday will be "x + 3," and on Saturday, it will be "x + 4."
Step 10: To find the average number of students attending class from Thursday to Saturday, we need to calculate the total number of students attending class for these three days: (x + 3 + x + 4) / 3 = (x + x + 7) / 3.
Step 11: Substitute the value of x which we found in step 8, we have (33 + 33 + 7) / 3 = 73 / 3 = 24.33 (rounded to two decimal places).
Step 12: Therefore, the average number of students attending class from Thursday to Saturday will be approximately 24.33.

So, the average number of students attending class from Thursday to Saturday is approximately 24.33.

To find the average number of students attending class from Thursday to Saturday, we need to determine the number of students attending class on each of these days.

Let's assume that the number of students attending class on Monday is x. As the number of students attending class from Monday to Saturday are consecutive integers, the number of students attending class on Tuesday would be x+1, on Wednesday it would be x+2, on Thursday it would be x+3, on Friday it would be x+4, and on Saturday it would be x+5.

To find the average number of students attending class from Monday to Wednesday, we can sum up the number of students attending class on each of these three days and divide by 3, as the average calculation is the sum of the numbers divided by the count of numbers.

So, the average number of students attending class from Monday to Wednesday is:
(x + (x+1) + (x+2))/3 = 34

Simplifying the equation, we have:
(3x + 3)/3 = 34
3x + 3 = 102
3x = 99
x = 33

Therefore, the number of students attending class on Monday is 33. So, the number of students attending class from Thursday to Saturday would be x+3 = 33+3 = 36.

Hence, the average number of students attending class from Thursday to Saturday would be the sum of the number of students attending class from Thursday to Saturday divided by 3:
(36 + 37 + 38)/3 = 111/3 = 37.

Therefore, the average number of students attending class from Thursday to Saturday is 37.