Question

6
In a school there are 180 students out of which 70% are girls. Also there are 10 teachers out of which 80%
teachers are females
Ratio of number of boys to number of male teachers
Da) 27:1 Ob) 29:2 Oc) 25:2 Od) 31:2
Ratio of number of girls to number of male teachers
Da) 1:63 Ob) 2:29 Oc) 63:1 Od) 29:2

Answer 1

Question :

In a school there are 180 students out of which 70% are girls. Also there are 10 teachers out of which 80% teachers are females .

1] Ratio of number of boys to number of male teachers .

2] Ratio of number of girls to number of male teachers

Answer :

$\sf\pink{Given:}$

• Total number of students in a school is 180 .

• 70% of the total students are girls .

• Total number of teachers is 10 .

• Out of total teachers 80% teachers are females .

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

• Ratio of number of boys to number of male teachers ?

• Ratio of number of girls to number of male teachers ?

Explanation :

70% of the total students are girls , therefore number of girls

= $\sf{\dfrac{70}{100}\times 180}$

Number of girls = $\sf{\dfrac{70}{10}\times 18}$

Number of girls = $\sf{7\times 18}$

Number of girls = $\sf{126}$

Therefore number of girls is 126.

Number of boys = Total students - number of girls

$\longrightarrow\sf{ 180 - 126}$

$\longrightarrow\sf{ 54}$

Therefore the number of boys is 54 .

80% of the total teachers are females therefore number of female teachers

= $\sf{\dfrac{80}{100}\times 10}$

Number of female teachers = $\sf{\dfrac{80}{10}}$

Number of female teachers = $\sf{8}$

Therefore the number of female teachers is 8 .

Number of male teachers = Total number of teachers - number of female teachers .

$\longrightarrow\sf{ 10 - 8}$

$\longrightarrow\sf{2}$

Therefore the number of male teachers is 2 .

• Ratio of number of boys to number of male teachers

Ratio = $\sf{\dfrac{Number\:of\:boys}{number\:of\:male\: teachers}}$

Ratio = $\sf{\dfrac{54÷2}{2÷2}}$

Ratio = $\sf{\dfrac{27}{1}}$

Ratio = 27:1

• Ratio of number of girls to number of male teachers

Ratio = $\sf{\dfrac{Number\:of\:girls}{number\:of\:male\: teachers}}$

Ratio = $\sf{\dfrac{126÷2}{2÷2}}$

Ratio = $\sf{\dfrac{63}{1}}$

Ratio = 63:1