for uttrakhand flood victims two section a and b of class x contributed rs1500 ifthe contribution of xa was rs100 less than that xb find the graphical of amount contributed both section.
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Answered by
21
let contribution of section A be X
and_________________ B be Y
ATQ....
X+Y=1500_____eq1
Y=X+100_______eq2
,
from eq 1&2
X+X+100=1500
2x =1400
X =700
Value of X =700
&______Y=700+100
=800.....
and_________________ B be Y
ATQ....
X+Y=1500_____eq1
Y=X+100_______eq2
,
from eq 1&2
X+X+100=1500
2x =1400
X =700
Value of X =700
&______Y=700+100
=800.....
Answered by
11
Equations:
First, let's take contribution of class "a" to be "a" only and contribution of class "b" to be "b" only.
Contribution of a+b=1500 (1)
Contribution of a=b-100 (2)
Substituting 1 in 2 we get,
a+b=1500
b-100+b= 1500
rearranging,
b+b-100= 1500
2b-100=1500
2b=1500+100
2b=1600
b=1600/2
b=800 (3)
Now, we have contribution of class "b"
Substituting 3 in 1,
a+b = 1500
a+800 = 1500
a = 1500-800
a = 700
Therefore, we now have contributions of class a and b. We can now draw the graph as follows:
Using equation (1) we can assume any random "x axis" value to find the corresponding "y axis" value
( Tip: keep these random values as close to the answer we found before as possible)
If "a"= 600,
600+b=1500
b=1500-600
b=900.
If a= 800
a+b=1500
800+b= 1500
b=1500-800
b=700.
Section "a" x axis : 600 700 800
Section "b" y axis : 900 800 700
Please try to do the graph on your own.
First, let's take contribution of class "a" to be "a" only and contribution of class "b" to be "b" only.
Contribution of a+b=1500 (1)
Contribution of a=b-100 (2)
Substituting 1 in 2 we get,
a+b=1500
b-100+b= 1500
rearranging,
b+b-100= 1500
2b-100=1500
2b=1500+100
2b=1600
b=1600/2
b=800 (3)
Now, we have contribution of class "b"
Substituting 3 in 1,
a+b = 1500
a+800 = 1500
a = 1500-800
a = 700
Therefore, we now have contributions of class a and b. We can now draw the graph as follows:
Using equation (1) we can assume any random "x axis" value to find the corresponding "y axis" value
( Tip: keep these random values as close to the answer we found before as possible)
If "a"= 600,
600+b=1500
b=1500-600
b=900.
If a= 800
a+b=1500
800+b= 1500
b=1500-800
b=700.
Section "a" x axis : 600 700 800
Section "b" y axis : 900 800 700
Please try to do the graph on your own.
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