SOLUTION: There are two classroom A and B .if 10 students are sent from A to B, the number of students in each room become the same .if 20 students are sent from B to A , the number of st

Question 774229: There are two classroom A and B .if 10 students are sent from A to B, the number of students in each room become the same .if 20 students are sent from B to A , the number of students in A becomes double the number of students in B .Find the number of students in each room .
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
There are two classroom A and B .
if 10 students are sent from A to B, the number of students in each room become the same .
if 20 students are sent from B to A , the number of students in A becomes double the number of students in B .
Find the number of students in each room .
:
Let a = original no. of students in A
Let b = original no. of students in B
:
Write an equation for each statement, put eq in standard form
:
"There are two classroom A and B .if 10 students are sent from A to B, the number of students in each room become the same ."
a - 10 = b + 10
a - b = 10 + 10
a - b = 20
:
"If 20 students are sent from B to A , the number of students in A becomes double the number of students in B
A + 20 = 2(B-20)
A + 20 = 2b - 40
A - 2B = -40 - 20
A - 2B = -60
Subtract the above equation from the 1st equation
a - b = 20
a - 2b = -60
--------------subtacting eliminates a, find b
b = 80 students in B
and
a - 80 = 20
a = 20 + 80
a = 100 students in A
:
You should check the solutions in both statements

RELATED QUESTIONS
"The area of a classroom space per student varies inversely with the number of students... (answered by sudhanshu_kmr)

According to the American Society of Heating, Refrigerating and Air-Conditioning... (answered by CPhill)

A small school has 100 students who occupy three classrooms: A, B, and C. After the first (answered by MathLover1)

There are two rows of seats in the classroom and each row has six seats. If a class has... (answered by Boreal)

There are two rows of seats in the classroom and each row has six seats. If a class has... (answered by Edwin McCravy)

School A and School B sent groups of students to a trip. School A rented and filled 2... (answered by richwmiller)

The ratio of girls to boys in a particular classroom is 6:5. How many boys are in the... (answered by TimothyLamb)

If there are 13 boys and 16 girls in a classroom, what fraction of the students are boys? (answered by josmiceli)

The school wants to have all of the students enrolled in social studies classes read the (answered by MathLover1)