Question

60% of 70 students of a class are girls.find the number of boys in the class.also find the ratio of the number of boys to the number of girls in the class​

Answer 1

Answer:

Ratio of number of boys to girls is 2 : 3.

Step-by-step explanation:

Given :

Girls in the class = 60%

Total students = 70

To find :

The number of boys and ratio of the number of boys to the number of girls in the class.

Solution :

Number of Girls =

$\sf{\longrightarrow} \: 60\% \: of \: 70 \\ \\ \sf{\longrightarrow} \: \dfrac{60}{100} \times 70 \\ \\ \sf{\longrightarrow} \: \dfrac{4200}{100} \\ \\ \sf{\longrightarrow} \: 42$

42 students are girls.

$\rule{300}{1.5}$

Number of Boys =

$\sf{\longrightarrow} \: 70 - 42 \\ \\ \sf{\longrightarrow} \: 28$

28 students are boys.

$\rule{300}{1.5}$

Ratio of Number of Boys to number of girls.

• Boys = 28
• Girls = 42

$\sf{\longrightarrow} \: 28 : 42 \\ \\ \sf{\longrightarrow} \: \dfrac{28}{42} \\ \\ \sf{\longrightarrow} \: \dfrac{28 \div 14}{42 \div 14} \\ \\ \sf{\longrightarrow} \: \dfrac{2}{3} \\ \\ \sf{\longrightarrow} \: 2 : 3$

$\therefore$ Ratio of number of boys to girls is 2 : 3.

Answer 2

Answer:

Total no. of students in class=70

Percentage of girls=60%

Number of girls in the class=

60% of 70

60/100 ×70

6×7=42

No. of girls in the class = 42

Number of boys in the class=

total students- no. of girls

70-42

28

No. of boys in the class=28

Ratio of no. of boys to no. of girls in the class=28/42

= 2/3

= 2:3

Ratio of no. of boys to no. of girls in the class=2:3

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