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%?
[tex]\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}[/tex]
Answer:
The total number of students are 250 .
Step-by-step 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
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
Percentage = 76%
Part value = 190
Put all the values in the formula
[tex]76 = \frac{190\times 100}{Total\ value}[/tex]
[tex]Total\ value= \frac{19000}{76}[/tex]
Total value = 250
Therefore the total number of students are 250 .
