Question

all students of 10th class planned a picnic. The entire package with food was of rupees 960. but eight students failed to go and thus, the cost for each member increased by rupees 6.
(1) how many students attended the picnic?
(2)find the total number of students in 10th class.

Answer 1

Let the original number of students be x.

∴ Budget of each student = Rs 960 / x

When 8 boys failed to go to the picnic, then

Number of students who went to the picnic = x – 8

New budget of each student = Rs 960 / ( x - 8)

Given, New budget of each students – Budget of each student = Rs 6

960 / ( x – 8) - 960 / x = 6

960 [ x – x + 8 ] = 6x( x – 8)

160 [ 8 ] = x( x – 8)

x2 – 8x – 1280 = 0

x2 – 40x + 32x – 1280 = 0

x( x – 40) + 32 ( x – 40) = 0

x + 32 = 0 or x – 40 = 0

x = -32 or 40.

∴  x = 40  ( x cannot be negative)

Number of students who went to the picnic = x – 8 = 40 – 8 = 32.

Answer 2

Answer:

Step-by-step explanation:

thanks