A=number of seats in section A
B=number of seats in section B
C=number of seats in section C
We can suggest this system of equations:
A+B+C=55,000
A=B+C ⇒A-B-C=0
28A+16B+12C=1,158,000
We solve this system of equations by Gauss Method.
1 1 1 55,000
1 -1 -1 0
28 16 12 1,158,000
1 1 1 55,000
0 -2 -2 -55,000 (R₂-R₁)
0 12 16 382,000 (28R₁-R₂)
1 1 1 55,000
0 -2 -2 -55,000
0 0 4 52,000 (6R₂+R₃)
Therefore:
4C=52,000
C=52,000/4
C=13,000
-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.
A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.
Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
Answer:
Hello!!
What is the relationship between the number of sides of a regular polygon and its rotational order ?
the number of sides= rotational order
Hope this helps!!
Answer:
Faisal receives $241
Ahmed receives $482
Walid receives $723
Step-by-step explanation:
I am going to build a system of equations to solve this question.
We have that:
x is the amount that Faysal received.
y is the amount that Ahmed received.
z is the amount that Walid received.
Ahmed, Walid and Faisal made $1446 profit from selling used books.
This means that
Ahmed to receive double amount of Faisal
This means that 
Walid to receive triple amount of Faisal.
This means that 
So
Faisal receives $241
Ahmed receives $482
Walid receives $723
You'd likely find this problem easier if you'd write these two numbers on separate lines, one above the other:
1015
+119
-------
1134
