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Standard IX

Mathematics

Linear Equation in 2 Variables

Romila went t...

Question

Romila went to a stationary stall and purchased $2$ pencils and $3$ erasers for Rs. $9$ . Her friend Sonali saw the new variety of pencils and erasers with Romila, and she also bought $4$ pencils and $6$ erasers of the same kind for Rs. $18$ . Represent this situation algebraically.

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Solution

Let the cost of $1$ pencil be Rs. x and that of one eraser be Rs. y.

It is given that Romila purchased $2$ pencils and $3$ erasers for Rs. $9$ .
$∴ 2 x + 3 y = 9$

It is also given that Sonali purchased $4$ pencils and $6$ erasers for Rs. $18$ .
$∴ 4 x + 6 y = 18$

The algebraic representation of the given situation is
(1) $2 x + 3 y = 9$
(2) $4 x + 6 y = 18$

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Romila went to a stationary stall and purchased 2 pencils and 3 erasers for Rs. 9. Her friend Sonali saw the new variety of pencils and erasers with Romila, and she also bought 4 pencils and 6 erasers of the same kind for Rs. 18. Represent this situation algebraically.

Romila went to a stationary stall and purchased $2$ pencils and $3$ erasers for Rs. $9$ . Her friend Sonali saw the new variety of pencils and erasers with Romila, and she also bought $4$ pencils and $6$ erasers of the same kind for Rs. $18$ . Represent this situation algebraically.