Question

36. 300 apples are distributed equally among a certain number of students.
Had there been 10 more students, each would have received one apple
less. ​

Answer 1

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.

Step-by-step explanation: