Respuesta :

Answer:

350 students

Step-by-step explanation:

40% represents the 6th grade.

given:

40% ↔ 140 students

so:

1% ↔ (140/40) students

1% ↔ 3.5 students

therefore total, 100%:

100% ↔ (3.5*100) students

100% ↔ 350 students

There are total 350 students in the school.

[tex]{\pmb{\bf Assumption \: :-}}[/tex] Let's assume that total no. of students in the school is x

Also , we are given that their are 140 students in 6th grade {Given} and no. of students in 6th grade is 40% of total no. of students in school i.e 40% of x {From Pie Chart} . Mathematically can be written as ;

[tex]{\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright 40 \% \: of \: x = 140}[/tex]

[tex]{: \implies \quad \sf \dfrac{40}{100}\times x =140}[/tex]

[tex]{: \implies \quad \sf x=\dfrac{140\times 100}{40}}[/tex]

After cancelling ;

[tex]{: \implies \quad \sf x=350}[/tex]

So , Total population of school is 350

Hence, Option D) 350 is correct