Math, asked by akiraaakhya1440, 1 year ago

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

Answers

Answered by sanjivkumar717p721mf
279
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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Answered by paarth232
369

Answer:

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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