Prime Minister national Relief fund is the fund raised to provide support for people affected by natural and manmade disasters. Natural disasters that are covered under this include flood, cyclone, earthquake, etc. Manmade disasters include major accidents, acid attacks, riots etc. Two friends Sita and Geeta together contributed Rs 200 towards prime Minister relief fund. Answer the following questions: 4x2=8
(i) How to represent the above situation in linear equation in two variables.
(ii) Rs 76 then how much was contributed by Geeta?
(iii) If both contributed equally then how much is contributed by each
(iv) Which one is the standard form of linear equation in two variables x=-5?
(a) x+y=0
(b) x-5=0
(c) x+0y+5=0
(d) x+0y=5
Answers
SOLUTION
TO CHOOSE THE CORRECT OPTION
Two friends Sita and Geeta together contributed Rs 200 towards prime Minister relief fund
(b) How to represent the above situation in linear equations in two variables
(i) 2x + y = 200
(ii) x + y = 200
(iii) 200x = y
(iv) 200 + x = y
(c) If Sita contributed Rs. 76, then how much was contributed by Gita
(i) Rs. 120
(ii) Rs. 123
(iii) Rs. 124
(iv) Rs. 125
(d) If both contributed equally, then how much is contributed by each
(i) Rs. 50, Rs. 150
(ii) Rs. 100, Rs. 100
(iii) Rs. 50, Rs. 50
(iv) Rs. 120, Rs. 120
(e) Which is the standard form of linear equations x = – 5
(i) x + 5 = 0
(ii) 1.x – 5 = 0
(iii) 1.x + 0.y + 5 = 0
(iv) 1.x + 0.y = 5
CONCEPT TO BE IMPLEMENTED
Linear Equation :
Linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one
EVALUATION
Two friends Sita and Geeta together contributed Rs 200
(b) Let Sita contributed Rs x and Geeta contributed Rs y
Total contribution = Rs 200
So by the given condition
x + y = 200
Hence the correct option is (ii) x + y = 200
(c) Sita contributed Rs. 76
∴ x = 76
The equation obtained is
x + y = 200
This gives
76 + y = 200
⇒ y = 200 - 76
⇒ y = 124
Geeta contributed Rs. 124
Hence the correct option is (iii) Rs. 124
(d) The equation obtained is
x + y = 200
If both contributed equall
Then x = y
⇒ 2y = 200
⇒ y = 100
⇒ x = y = 100
So contributed by each = Rs 100
Hence the correct option is (ii) Rs. 100, Rs. 100
(e) The given linear equation is
x = - 5
Which can be rewritten as below
x + 5 = 0
⇒ 1.x + 0.y + 5 = 0
Hence the correct option is
(iii) 1.x + 0.y + 5 = 0
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Step-by-step explanation:
SOLUTION
TO CHOOSE THE CORRECT OPTION
Two friends Sita and Geeta together contributed Rs 200 towards prime Minister relief fund
(b) How to represent the above situation in linear equations in two variables
(i) 2x + y = 200
(ii) x + y = 200
(iii) 200x = y
(iv) 200 + x = y
(c) If Sita contributed Rs. 76, then how much was contributed by Gita
(i) Rs. 120
(ii) Rs. 123
(iii) Rs. 124
(iv) Rs. 125
(d) If both contributed equally, then how much is contributed by each
(i) Rs. 50, Rs. 150
(ii) Rs. 100, Rs. 100
(iii) Rs. 50, Rs. 50
(iv) Rs. 120, Rs. 120
(e) Which is the standard form of linear equations x = – 5
(i) x + 5 = 0
(ii) 1.x – 5 = 0
(iii) 1.x + 0.y + 5 = 0
(iv) 1.x + 0.y = 5
CONCEPT TO BE IMPLEMENTED
Linear Equation :
Linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one
EVALUATION
Two friends Sita and Geeta together contributed Rs 200
(b) Let Sita contributed Rs x and Geeta contributed Rs y
Total contribution = Rs 200
So by the given condition
x + y = 200
Hence the correct option is (ii) x + y = 200
(c) Sita contributed Rs. 76
∴ x = 76
The equation obtained is
x + y = 200
This gives
76 + y = 200
⇒ y = 200 - 76
⇒ y = 124
Geeta contributed Rs. 124
Hence the correct option is (iii) Rs. 124
(d) The equation obtained is
x + y = 200
If both contributed equall
Then x = y
⇒ 2y = 200
⇒ y = 100
⇒ x = y = 100
So contributed by each = Rs 100
Hence the correct option is (ii) Rs. 100, Rs. 100
(e) The given linear equation is
x = - 5
Which can be rewritten as below
x + 5 = 0
⇒ 1.x + 0.y + 5 = 0
Hence the correct option is
(iii) 1.x + 0.y + 5 = 0
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