for uttarakhand flood victims two sections A and B of class 10 contributed Rs.1500. if the contribution of class 10 A was less than that of class 10 B ,find graphically the amounts contributed by both the sections.
Answers
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.
Q) *For uttarakhand flood victims two sections A and B of class 10 contributed Rs.1500. if the contribution of class 10 A was less than that of class 10 B ,find graphically the amounts contributed by both the sections.*
Answer:-
Answer:- Let the contribution of X-A be 'a' and the contribution of X-B be 'b' only .
given:
a+b=1500 ------------->(1)
contribution of 'a' is rs.100 less than 'b'
so: a-100=b (or) a=b+100
a=b+100 ----------------->(2)
FROM EQUA (1) AND (2)....
a + b =1500--------->(1)
a =b+100 ------------>(2)
arranging equa 2 ..such that to subtract it ..so ,it becomes:-
:. a-b=100
subtracting the equations:-
a + b = 1500
b = 1500 (-) a - (+)b = (-) 100
-----------------------------------------------
2a + 0 = 1400
-----------------------------------------------
:. 2a=1400
a=1400/2
a=700
SUBSTITUTING THE VALUE OF 'a' IN ANY ONE OF THE EQUATION.....{i substituted in equation (1)}
a + b = 1500
700 + b = 1500
b = 1500-700
b=800
:. THE VALUE OF a is 700 and VALUE OF b is 800
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