Question

In a school tour, 48 children
were accompanied by 6 teachers.
How many teachers should go
for 120 children ?​

Answer 1

Answer:

• 15 teachers should go for 120 children.

Step-by-step explanation:

Given that:

• 48 children were accompanied by 6 teachers.

To Find:

• How many teachers should go for 120 children?

Let us assume:

• x teachers should go for 120 children.

Finding the number of teachers should go for 120 children:

According to the question.

⟿ 48 : 6 = 120 : x

⟿ 48/6 = 120/x

⟿ 8 = 120/x

⟿ 8x = 120

⟿ x = 120/8

⟿ x = 15

Hence,

• 15 teachers should go for 120 children.

Answer 2

Given :-

In a school tour, 48 children  were accompanied by 6 teachers.

To Find :-

How many teachers should go  for 120 children ?​

Solution :-

There are two methods to solve this question.

1] Unitary method

2] Proportional method

Solving by unitary method

6 teacher can handle = 48 students

1 teacher can handle = 48/6 = 8 students

Teacher required = 120/8 = 15 teacher

Solving by proportional method

Teacher : Student

6 : 48

x : 120

120(6) = 48x

720 = 48x

720/48 = x

15 = x