300apples are distributed eqally among a certain number of student had there been 10 more student ,each would have received one apple less.find the no.of student?
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Step-by-step explanation:
ANSWER
Let the number of students be x.
Then, the number of apples received by each student is
x
300
.If there are 10 more students, i.e. (x+10) students.
Then, the number of apples received by each student is
x+10
300
.
According to the question,
x
300
−
x+10
300
=1
⇒
x(x+10)
300x+3000−300x
=1
⇒3000=x
2
+10x
⇒x
2
+10x−3000=0
⇒x
2
+60x−50x−3000=0
⇒x(x+60)−50(x+60)=0
⇒(x+60)(x−50)=0
⇒x=−60 or x=50
But the number of students can not be negative.
Hence, the number. of students is 50.
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