Some students planned a picnic.The budget for food was rupees 480.but 8 of them failed to go and, therefore,the cost of food for each member increased by 10.How many students attended the picnic?
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Answered by
673
let the no of students be x
let the cost of each student be y
so xy = 480 ⇒ y = 480/x
so 8 students didn't arrived , each food would have cost rupees 10 more (x-8)(y+10)=480
⇒ (x-8)(480/x+10)=480
⇒ x² - 8x - 384 = 0
⇒ x² + 16x - 24x - 320 = 0
⇒ (x - 24)(x + 16) = 0
so x = - 16 or 24
so number of students can't be negative
so 24 students ANSWER
let the cost of each student be y
so xy = 480 ⇒ y = 480/x
so 8 students didn't arrived , each food would have cost rupees 10 more (x-8)(y+10)=480
⇒ (x-8)(480/x+10)=480
⇒ x² - 8x - 384 = 0
⇒ x² + 16x - 24x - 320 = 0
⇒ (x - 24)(x + 16) = 0
so x = - 16 or 24
so number of students can't be negative
so 24 students ANSWER
Anonymous:
thank u
Answered by
112
suppose x student planned picnic. Then, share of each student 480÷x Rs. Share of each student when 8 student failed to go- 480÷x-8Rs. so, (480÷x-8) - (480÷x) =10. x^2-24+16x-384=0. (x-24)(x+16) x=24,-16 and no. of student planned picnic can't be negative.so, no.students planned picnic and attended picnic were 24 and 16 respectively.
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