Some students planned a picnic. the total budget for food was rupees 2000 but 5 student failed to attend the picnic and thus the cost of food for each member increased by rupees 20 how
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total number of students was 25. take a look at pictures. for step by step. if you want shortcut then reply me..
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Let the number of students be ‘x’
2000x = (x – 5) (2000 + 20x)
2000x = 2000x + 20x² – 10000 – 100x
0 = 20x² – 10000 – 100x
20x² – 10000 – 100x = 0
x² – 500 – 5x = 0
x² – 25x + 20x – 500 = 0
x (x – 25) + 20 (x – 25) = 0
(x + 20) (x – 25) = 0
x = –20, 25
Since, number of students is not negative, x = 25
Total number of students = 25
Number of students who attended the picnic = 25 – 5 = 20
Thus, cost for one student = Rs 2000 ÷ 20 = Rs 100
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