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Class 10
Mathematics
Pair of Linear Equations in Two Variables
the cost of 2 kg of apples and 1kg of grapes on a...

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

Answer:

Let the cost of one kg apple be x ₨ and 1 kg grapes be y ₨.

According to first condition,

2x + y = 160 ₨ …………..(1)

According to second condition,

4x + 2y = 300

2x + y = 150 ……………….(2)

Graphical Representation

Table for equation (1), 2x + y = 160

Table value of x and y

x:	40	60	80
y:	60	40	0

Table for equation (2), 2x + y = 150

Table value of x and y

x:	40	60	20
y:	70	30	110

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

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

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