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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $Rs.$).

Similar Questions

For the linear equation of two variables $ax + by + c = 0$,$\ldots \ldots \ldots \ldots$ is not true.

The present age of Ramesh is $x$ years. Mahesh is $5$ years elder than Ramesh and three years younger than Suresh. The present age of Suresh is $\ldots \ldots \ldots \ldots$

If $x=a$ and $y=b$ is the solution of the equations $x-y=2$ and $x+y=4,$ then the values of $a$ and $b$ are,respectively:

$A$ two-digit number is obtained by either multiplying the sum of the digits by $8$ and adding $1$,or by multiplying the difference of the digits by $13$ and adding $2$. Find the number.

Solve the following pair of linear equations using a graph: $x+y=5$ and $3x+3y=15$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module