For a picnic, the totql budget for food was rs2000. But 5 students failed to attend the picnic and thus the cost for food for each member incresed by rs 20. How mqny students attended the picnic and how much did each pay for food. This is from quadratic equation. . I will mark brainlist.. plz
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Let x be the number of students who planned a picnic.
∴ Original cost of food for each member = ₹2000x
Five students failed to attend the picnic. So, (x − 5) students attended the picnic.
∴ New cost of food for each member = ₹2000x-5
According to the given condition,
₹2000x-5 − ₹2000x = ₹20
⇒2000x-2000x+10000xx-5=20⇒10000x2-5x=20⇒x2-5x=500⇒x2-5x-500=0
⇒x2-25x+20x-500=0⇒xx-25+20x-25=0⇒x-25x+20=0⇒x-25=0 or x+20=0
⇒x=25 or x=-20
∴ x = 25 (Number of students cannot be negative)
Number of students who attended the picnic = x − 5 = 25 − 5 = 20
Amount paid by each student for the food = ₹200025-5 = ₹200020 = ₹100
∴ Original cost of food for each member = ₹2000x
Five students failed to attend the picnic. So, (x − 5) students attended the picnic.
∴ New cost of food for each member = ₹2000x-5
According to the given condition,
₹2000x-5 − ₹2000x = ₹20
⇒2000x-2000x+10000xx-5=20⇒10000x2-5x=20⇒x2-5x=500⇒x2-5x-500=0
⇒x2-25x+20x-500=0⇒xx-25+20x-25=0⇒x-25x+20=0⇒x-25=0 or x+20=0
⇒x=25 or x=-20
∴ x = 25 (Number of students cannot be negative)
Number of students who attended the picnic = x − 5 = 25 − 5 = 20
Amount paid by each student for the food = ₹200025-5 = ₹200020 = ₹100
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