Question

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Answer 1

Answer:

50

Step-by-step explanation:

Number of students: 50

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

Answer 2

Step-by-step explanation:

number of students be x

the number of apples each students received is

x

300

If there are 10 more students

(x+10)

Then the num of apples received by each child

x+10=300

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,x=50

The total number of students in the class are 50