CBSE Class 10 Answered
Some students arranged a picnic. The total budget is rs 240. because 4 students of the group failed to go the cost of food for each student increased by rs 5. How many students went to the picnic?
Asked by | 26 Feb, 2013, 12:26: PM
Expert Answer
Let the number of students be x and cost per sudent y
So, xy = 240 i.e. y = 240/x
Also, since 4 students failed to go resulting in the increase of cost by Rs 5
(x-4) (y+5) = 240
xy + 5x - 4y -20 = 240
240 + 5x - 4*240/x - 20 = 240
5x2 - 20x - 960 = 0
x2 - 4x - 192 = 0
(x-16) (x+12) = 0
x = 16 or x = -12
Since, x can't be negative, hence, x = 16.
So, the number of the students who went to picnic = x-4 = 12.
Answered by | 26 Feb, 2013, 05:00: PM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by rrajansinghakb199 | 08 Apr, 2024, 05:12: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by afiyamallick12 | 23 Feb, 2024, 11:32: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by goyelgurav | 18 Dec, 2023, 11:23: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by mehraharshit.dk000 | 05 Oct, 2023, 08:05: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ruchipandey20071978 | 21 May, 2023, 10:00: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by varma.renu9481 | 25 Jan, 2023, 04:11: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by yogitamanojkumar | 09 Jan, 2023, 04:01: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by nk.neetuhome | 18 Nov, 2022, 03:43: PM
ANSWERED BY EXPERT