Mathematics: 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?

1. The higher the grade, the higher the goal 2. The goal increases by 60$ each time 3. All the goals are bigger than 100$...

In a school, the ratio of teachers to girls is

rudolph34

02.02.2022

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

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