19
Question
Some students planned a picnic. The total budget for food was Rs.2000. But, 5 students failed to attend the picnic and thus the cost for food for each member increased by Rs.20. How many students attended the picnic and how much did each student pay for the food?
Some students planned a picnic. The total budget for food was Rs.2000. But, 5 students failed to attend the picnic and thus the cost for food for each member increased by Rs.20. How many students attended the picnic and how much did each student pay for the food?
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Solution
Let the no of students be x
let the cost of each student be y
so xy = 2000 ⇒ y = 2000x
so 5 students didn't arrived , each food would have cost rupees 20 more (x-5)(y+20)=2000
⇒ (x-5)(2000x+20)=2000
⇒ x² - 5x - 500 = 0
⇒ x² + 20x - 25x - 500= 0
⇒ (x - 25)(x + 20) = 0
so x = - 20 or 25
so number of students can't be negative
so 25 students
then
y= 2000x= 200025=80
each student can pay Rs 80
Let the no of students be x
let the cost of each student be y
so xy = 2000 ⇒ y = 2000x
so 5 students didn't arrived , each food would have cost rupees 20 more (x-5)(y+20)=2000
⇒ (x-5)(2000x+20)=2000
⇒ x² - 5x - 500 = 0
⇒ x² + 20x - 25x - 500= 0
⇒ (x - 25)(x + 20) = 0
so x = - 20 or 25
so number of students can't be negative
so 25 students
then
y= 2000x= 200025=80
each student can pay Rs 80
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