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Question -

The cost of 4 pens and 4 pencil boxes is тВ╣ 100. Three times the cost of a pen is тВ╣ 15 more than the cost of a pencil box. Form the pair of linear equations for the above situation. Find the cost of a pen and pencil box. [NCERT Exemplar]



Answer -

Let the cost of a pen be тВ╣ x and the cost of a pencil box be тВ╣ y.
Then, by given condition,
4x + 4y = 100 => x + y = 25 тАж(i)
and 3x = y + 15
=> 3x тАУ y = 15 тАж(ii)
On adding Eqs. (i) and (ii), we get
4x = 40 => x = 10
By substituting x = 10, in Eq. (i) we get
y = 25 тАУ 10 = 15
Hence, the cost of a pen and a pencil box are тВ╣ 10 and тВ╣ 15, respectively.

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