Question

24% of students buy there lunch, 190 students bring their lunch from home. How many students are there in total

Answer 1

so we know that 24% of the students buy their lunch at the cafeteria, and 190 students brownbag.

well, 100% - 24% = 76%, so the remainder of the students, the one that is not part of the 24% is 76%, and we know that's 190 of them.

since 190 is 76%, how much is the 24%?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 190&76\\ x&24 \end{array}\implies \cfrac{190}{x}=\cfrac{76}{24}\implies 4560=76x \\\\\\ \cfrac{4560}{76}=x\implies 60=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total amount of students}}{190+60\implies 250}`

Answer 2

The total number of students are 250 .

Explanation:

As given

24% of students buy there lunch, 190 students bring their lunch from home.

As the percentage is always be 100% .

Thus

Percentage students bring their lunch from home = (100 - 24 ) %

= 76 %

Formula

`Percentage = (Part\ value* 100)/(Total\ value)`

Percentage = 76%

Part value = 190

Put all the values in the formula

`76 = (190* 100)/(Total\ value)`

`Total\ value= (19000)/(76)`

Total value = 250

Therefore the total number of students are 250 .