The cost of 4 pens and 4 pencil boxes is Rs., | vedclass

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(D) Let the cost of a pen be $Rs.\, x$ and the cost of a pencil box be $Rs.\, y$.According to the first condition,$4x + 4y = 100$,which simplifies to

Vedclass · Accepted Answer

$10, 15$

Vedclass · Answer

(D) Let the cost of a pen be $Rs.\, x$ and the cost of a pencil box be $Rs.\, y$.According to the first condition,$4x + 4y = 100$,which simplifies to $x + y = 25$ (Equation $i$).According to the second condition,$3x = y + 15$,which can be written as $3x - y = 15$ (Equation $ii$).Adding Equation $(i)$ and Equation $(ii)$:$(x + y) + (3x - y) = 25 + 15$$4x = 40$$x = 10$Substituting $x = 10$ into Equation $(i)$:$10 + y = 25$$y = 15$Therefore,the cost of a pen is $Rs.\, 10$ and the cost of a pencil box is $Rs.\, 15$.

The cost of $4$ pens and $4$ pencil boxes is $Rs.\, 100$. Three times the cost of a pen is $Rs.\, 15$ 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 a pencil box (in $Rs.$).

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