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Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
The cost of $2$ pens and $3$ pencils is Rs $90$. The cost of one pen is Rs $10$ more than the cost of one pencil. Represent this situation algebraically as a pair of linear equations (you do NOT need to solve it).
Step-by-Step Solution
Key Concept: Translate the given statements directly into two linear equations using two variables.
Let the cost of one pen be Rs $x$ and one pencil be Rs $y$. [0.5 Mark]
\"Cost of 2 pens and 3 pencils is Rs 90\" gives: $2x+3y=90$. [0.75 Mark]
\"Cost of a pen is Rs 10 more than a pencil\" gives: $x=y+10$, i.e. $x-y=10$. [0.75 Mark]
Correct Answer:
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