Question

8. There are 68 teachers in a school. The ratio of
female teachers is 3: 1. Find the number of male and female teacher​

Answer 1

Correct Question :

There are 68 teachers in a school. The ratio of male teachers to female teachers is 3: 1. Find the number of male and female teacher ?

Answer :

$\sf\pink{Given:}$

• Total number of teachers is 68 .

• Ratio of male teachers to female teachers is 3:1 .

$\sf\pink{To\:find:}$

• The number of male teachers ?

• The number of female teachers ?

Explanation :

• Let the number of male teachers be 3x .

• Let the number of female teachers be 1x .

Equation Formed :

$\longrightarrow\bf{ 3x + 1x = 68}$

$\longrightarrow\bf{ 4x = 68}$

$\longrightarrow\bf{ x = \dfrac{68}{4}}$

$\longrightarrow\bf{ x = 17}$

• Therefore number of female teachers is x .

$\longrightarrow\bf{ x = 17}$

Therefore number of female teachers is 17 .

• Therefore number of male teachers is 3x .

$\longrightarrow\bf{ 3\times 17}$

$\longrightarrow\bf{ 51}$

Therefore number of male teachers is 51 .