Question

The number of teachers needed is directly proportional to the number of students in the school. If 70 teachers are needed for 392 students, how many would be needed for 896 students?

Answer 1

160 Teachers are required.

Step-by-step explanation:

$70 \: \div \: 392 = 0.1785714285714$

$0.1785714285714 \: \times \: 896 = 160$

Hope it helps....

Answer 2

Number of Teachers is directly proportional to number of students.

Now using the concept of ratio and proportion,

Let the number of teachers be x

⇒70 : 392 : : x : 896

Multiply first ratio with last ratio and 2nd ratio with 3rd ratio

⇒ 70 × 896 = 392x

⇒ 392x = 70 × 896

⇒392x = 62720

Dividing by 392 on both sides,

⇒ x = 160

Therefore, 160 teachers would be needed for 896 students