(11) 540 is distributed equally among some students. If there would have been 30
students more each would have received 3 less. Find the number of students.
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Answer:
Total oranges=540
Let the total number of students be xOrange each studnt gets=
x
540
If 30 more students are there so, the total number of students will be x+30
Number of oranges per person will be
x+30
540
if 30 students were more each would get 3 oranges less=
x
540
−3
⇒
x+30
540
=
x
540
−3
⇒540x=(540−3x)(x+30)
⇒3x
2
+90x−16200=0
⇒x
2
+30x−5400=0
⇒x
2
+90x−60−5400=0
⇒(x+90)(x−60)=0
∴x=−90,60
But number of students cannot be negative,so the number of students is 60
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