Question

The ratio of boys to girls in a class is 5:7. There are 36 students in the class. How many students are girls?

Answer 1

Step-by-step explanation:

$total \: students \: are \: in \: class \: = > 36 \\ \\ \: = > we \: dont \: know \: that \: how \: many \\ \: girls \: or \: boy \\ \\ = > but \: \: here \: given \: ratio \: of \: boys \: \\ and \: girls \: is \: \: \: 5 \ratio7 \\ \\ = > \: here \: given \: below\: formula \: of \: find \\ to \: number \: of \: \: boys\: and \: girls \: \\ \\ = > \: numbers \: of \: boys\: = 36 \times \frac{5}{5 + 7} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 36 \times \frac{5}{12} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 5 = 15 \\ \\ = > numbers \: of \: girls \: = \: 36 \times \frac{7}{7 + 5} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 36 \times \frac{7}{12} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 7 = 21$

numbers of girls= 21

Answer 2

Answer:

If a class of 36 students has a  ratio of 5  boys to 7 girls then the no. of boys in class is 15 and no. of girls in class is 21.

Step-by-step explanation:

Total number of students = 36

Ratio of boys to girls in class = 5 : 7

Let x be multiplied to 5 and 7 in such a way that

Total number of boys = 5x

Total number of girls = 7x

therefore,

5x + 7x = 36

12x = 36

    x = 3

Total no. of boys = 5x

                              = 5 X 3

                              = 15

Total no. of boys = 7x

                              = 7 X 3

                              = 21