Question

In a school, the ratio of teachers to girls is 1:7 while that of boys to girls is 3:4, If there are 280 girls in the school, what is the total number of pupils and their teachers?

Answer 1

Answer:

The total number of pupils and their teachers = 530

                                                                             

Step-by-step explanation:

No. of girls in the school = 280

The ratio boys to girls is 3:4 and that of teachers to girls is 1:7

∴ The ratio boys to girls is 3x : 4x where, 4x = 280

and The ratio of teachers to girls is x : 7x where, 7x = 280

4x = 280

$\frac{280}{4\\}$ = x

70 = x

So, the no. of girls in the school = 4x = 4(70) = 280 and the no. of boys in the school  = 3x = 3(70) = 210

7x = 280

$\frac{280}{7\\}$ = x

40 = x

So, the no. of girls in the school = 7x = 7(40) = 280 and the no. of teachers in the school = x = 40

∴ The total number of pupils and their teachers = 280 + 210 + 40

                                                                             = 530