Respuesta :
Answer: 250 students.
Step-by-step explanation:
Let x students in 6th grade either purchased their lunch or brought their lunch from home on Monday.
According to the question,
24% of the students purchased their lunch.
⇒ (100-24)% of the student brought their lunch from home.
⇒ 76 % of the student brought their lunch from home.
But, Again according to the question,
190 students brought their lunch from home.
⇒ 76 % of x = 190
⇒ [tex]\frac{76\times x}{100} = 190[/tex]
⇒ [tex]x=\frac{190\times 100}{760}[/tex]
⇒ [tex]x=\frac{1900}{760}[/tex]
⇒ x = 250
Therefore, there are total 25 students in the 6th grade.
You can use the fact that all students got lunch to know how much percent of students brought their lunch from home.
The count of students in 6th grade is 250
How do we know how many students are there in 6th grade?
We know that 24% had purchased the lunch.
And 190 students brought lunch from home.
Thus, if we could convert those 24% back to numbers, then we can add 190 and the obtained count to get the number of students in grade 6.
How to convert 24% to numbers?
Since total 100% students are there, and 24% students purchased lunch and since all students got their lunch with them, thus we have:
[tex]100 - 24 = 76\% \text{\: of students brought their lunch from home}[/tex]
But we already know that total 190 students brought their lunch from home, thus:
[tex]76\% = 190\\ 1\% = \dfrac{190}{76}\\ \\ 24\% = \dfrac{24 \times 190}{76} = 60[/tex]
Thus, total there are 190 + 24% = 190+60 = 250 students in 6th grade.
Learn more about percentage here:
https://brainly.com/question/626448
