The cost of maintaining a school is partly varies as the number of pupils.with 50 pupils, the cost is 15705.00 and with 44 pupils,it is 13 305
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Answer
To determine the cost per pupil, we can use the given information and set up a proportion.
Let's assume the cost per pupil is represented by "x" and the number of pupils is represented by "n".
We have two sets of information:
- With 50 pupils, the cost is $15,705.
- With 44 pupils, the cost is $13,305.
We can set up the following proportion:
50/15,705 = 44/13,305
To solve this proportion, we can cross-multiply:
50 * 13,305 = 44 * 15,705
661,250 = 691,920
Now, we can solve for "x," which represents the cost per pupil:
x = 661,250 / 691,920
By dividing the left-hand side of the equation by the right-hand side, we find:
x ≈ 0.954
Therefore, the approximate cost per pupil is $0.954.
To verify this solution, we can substitute the value of the cost per pupil back into the original information:
With 50 pupils: 50 * 0.954 ≈ $47.7 (approximately)
With 44 pupils: 44 * 0.954 ≈ $41.97 (approximately)
The approximate costs aligned with the given information, confirming that our solution is valid.