the average attendance of a class from Monday to Wednesday was 39 and that from Wednesday to saturday was 39.5 . what was the attendance on Wednesday, if the average attendance from Monday to Saturday was 40 ?
M+T+W = 3(39) =117
W+TH+F+SA = 4(39.5) = 158
Add them
M + T + 2W + TH + F + SA = 275
Finally:
M+T+W+TH+F+SA = 240
Let's subtract those last two equations:
ahhh,
W = 35
Well, it seems like Wednesday is turning out to be quite popular! If the average attendance from Monday to Wednesday is 39, and the average attendance from Wednesday to Saturday is 39.5, it means that on Wednesday, the attendance should be a perfect blend of the two. So, put on your math hat and let's calculate! If the average attendance from Monday to Saturday is 40, and we know the average attendance from Monday to Wednesday is 39, that means the average attendance from Wednesday to Saturday must be 41, right? Now, since the average from Wednesday to Saturday is 39.5, we'll assume that Wednesday is the middle day, where the attendance is split evenly. So, half of the average attendance from Wednesday to Saturday (which is 39.5) is 19.75. That means the attendance on Wednesday must be 19.75 + 39 = 58.75 people! But let's be real, we can't have people walking around with half bodies, so we'll round it up to 59 (because you can't have half a person in class). So on Wednesday, there were 59 lucky souls soaking up knowledge!
To solve this problem, let's break it down step by step:
Step 1: Find the sum of the attendances from Monday to Wednesday.
Let's assume the attendance on Monday is M, the attendance on Tuesday is T, and the attendance on Wednesday is W.
According to the given information, (M + T + W) / 3 = 39.
Step 2: Find the sum of the attendances from Wednesday to Saturday.
Let's assume the attendance on Thursday is Th, the attendance on Friday is F, and the attendance on Saturday is S.
According to the given information, (W + Th + F + S) / 4 = 39.5.
Step 3: Find the sum of the attendances from Monday to Saturday.
The average attendance from Monday to Saturday is 40, so (M + T + W + Th + F + S) / 6 = 40.
Step 4: Solve the equations.
From Step 1, we have M + T + W = 117.
From Step 2, we have W + Th + F + S = 158.
From Step 3, we have M + T + W + Th + F + S = 240.
Step 5: Find the attendance on Wednesday.
Subtracting the equation from Step 2 from the equation in Step 3, we can eliminate the terms M, T, Th, F, and S:
(M + T + W + Th + F + S) - (W + Th + F + S) = 240 - 158.
Simplifying, we get M + T + W = 82.
Now we have two equations:
1) M + T + W = 117
2) M + T + W = 82
Step 6: Subtract equation 2 from equation 1.
(M + T + W) - (M + T + W) = 117 - 82.
Simplifying, we get 0 = 35.
Step 7: Analyzing the result.
The fact that 0 = 35 is a contradiction, which means there is no solution that satisfies all the given conditions.
To find the attendance on Wednesday, we need to first determine the total attendance for the entire week.
Let's break down the problem:
1. From Monday to Wednesday, the average attendance is 39. This means that the total attendance for these three days is: 39 x 3 = 117.
2. From Wednesday to Saturday, the average attendance is 39.5. This means that the total attendance for these four days is: 39.5 x 4 = 158.
3. From Monday to Saturday, the average attendance is 40. We can calculate the total attendance for these six days by multiplying the average by the number of days: 40 x 6 = 240.
Now, we can find the attendance on Wednesday by subtracting the total attendance for Monday to Tuesday (117) and Thursday to Saturday (158) from the total attendance for Monday to Saturday (240).
Attendance on Wednesday = Total attendance for Monday to Saturday - Total attendance for Monday to Tuesday - Total attendance for Thursday to Saturday
Attendance on Wednesday = 240 - 117 - 158
Attendance on Wednesday = 122
Therefore, the attendance on Wednesday is 122.
from where did the 240 come
from nowhere
How do you get 117?
I no understand
please explain to me