NCERT Solution Class X Mathematics Pair of Linear Equations in Two Variables Question 3 (Ex 3.1)

Question 3:

The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

Answer:

Let the cost of 1 kg of apples be Rs x.

And, cost of 1 kg of grapes = Rs y

According to the question, the algebraic representation is

2x + y = 160

4x + 2y = 300

For 2x + y = 160,

y = 160 – 2x

The solution table is

For 4x + 2y = 300,

The solution table is

The graphical representation is as follows.

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