Question

The number of male teachers in a school is 20% more than a number of female teachers in the school. What is the ratio of male and female teachers?​

Answer 1

Answer: 5:9

Explanation:

female teachers= x%

male teachers=x+20%

x+x+20=100%

2x+20=100

2z=100\2

x=50/2

x=25

.

female teachers = x=25

male teachers = x+20=25+20=45

25/45=5/9

• 5:9

Answer 2

The ratio of male and female teachers = 6 : 5

Given :

The number of male teachers in a school is 20% more than a number of female teachers in the school

To find :

The ratio of male and female teachers

Solution :

Step 1 of 2 :

Find the male and female teachers in terms of unknown

Let number of female teachers in the school = 100n

Since number of male teachers in a school is 20% more than a number of female teachers in the school

Then number of male teachers in the school

$\displaystyle \sf{ = 100n + (100n \: \times \: \frac{20}{100} ) }$

$\displaystyle \sf{ = 100n + 20n }$

$\displaystyle \sf{ = 120n }$

Step 2 of 2 :

Find the ratio of male and female teachers

The ratio of male and female teachers

= 120n : 100n

$\displaystyle \sf{ = \frac{120n}{100n} }$

$\displaystyle \sf{ = \frac{6}{5} }$

$\displaystyle \sf{ = 6 : 5 }$

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