A school has 9 grades and 5 of the grades have 20 fewer students than the other 4. The school has 585 students. How many students are in the 5 with fewer students?

A school has 9 grades and 5 of the grades have 20 fewer students than the other 4. The school has 584 students. How many students are in the 5 with fewer students?

Total number of students in 5 of the grades = 280

Step-by-step explanation:

Let the number of students in each of (other 4) grades be 'x'

There are 4 grades so total no. of students in (other 4) = 4x

Now

Number of students in each (5 of the grades) = (x-20)

Total number of student in (5 of the grades) = 5(x-20)

According to the question:

⇒

⇒

⇒

⇒ Adding 100 both sides.

⇒

⇒

⇒ Dividing 9 both sides.

⇒            

⇒ students.

Number of students in 5 of the grades were the students are fewer:

⇒

Total number of students in 5 of the grades = 280

astronomers is your final answer! : )

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844