Question

All the students in sixth grade either purchased their lunch or brought their lunch from home on Monday. - 80% of the students purchased their lunch. - 60 students brought their lunch from home. How many students are in the sixth grade? *i need the answer now

Answer 1

There are 300 students in Sixth grade.

Explanation:

Let Total number of students in sixth grade be x.

Given:

Number of Students brought lunch from home = 60

Percentile of Students purchased lunch = 80%

First we will find the number of students who purchased lunch.

So the number of students who purchased lunch is equal to Percentile of Students purchased lunch multiplied with total number of students and then divide by 100.

Framing in equation form we get;

Number of students who purchased lunch =
`80\% * x= (80)/(100)* x = 0.8x`

Now Total Number of students are equal to Number of students who purchased lunch plus Number of Students brought lunch from home.

Equation can be framed as;

`x=0.8x+60\\\\x-0.8x=60\\\\0.2x=60\\\\x= (60)/(0.2)=300`

Number of students who purchased lunch =
`0.8x=0.8*300 = 240 \ students.`

Hence There are 300 students in Sixth grade.

Answer 2

There are 300 students in the sixth grade.

Explanation:

Let the total number of students be 'x'.

Given:

Number of students who purchased their lunch = 60

Percent of students who brought their lunch from home = 80%

Now, number of students who brought their lunch from home is given as:

`=80\%\ of\ x\\=0.80x`

Now, total number of students is equal to the sum of those who purchased their lunch and those who brought their lunch from home. So,

`x=0.80x+60`

Adding
`-0.80x` both sides, we get:

`x-0.80x=0.80x-0.80x+60\\0.20x=60`

Dividing both sides by 0.20, we get:

`(0.20x)/(0.20)=(60)/(0.20)\\\\x=300`

Therefore, there are 300 students in the sixth grade.