The price of 9 pens and 3 pencil is 99 rupees and the price of 4 pen a

1.	The price of 9 pens and 3 pencil is 99 rupees and the price of 4 pen and 3 pencil is 49 rupees? What is the price of a pen? What is the price of a pencil
Answer» Question - The PRICE of 9 pens and 3 pencils is RS 99 and the price of 4 pens and 3 pencils is Rs 49. What is the price of a pen? What is the price of a pencil? Solution - Let the price of one pen be X and price of one pencil be y According to the question - $\implies9x + 3y = 99$ $\implies3y = 99 - 9x.........1)$ And, $\implies4x + 3y = 49$ $\implies4x + 99 - 9x = 49(by \: 1)$ $\implies - 5x + 99 = 49$ $\implies - 5x = 49 - 99$ $\implies - 5x = - 50$ $\implies x = \frac{ - 50}{ - 5}$ $\implies \: x = 10$ Now putting the value of x in equation 1) we will GET - $\implies3y = 99 - 9x$ $\implies3y = 99 - 9 \times 10$ $\implies3y = 99 - 90$ $\implies3y = 9$ $\implies \: y = \frac{9}{3}$ $\implies \: y = 3$ Therefore the price of one pen is Rs 10 and price of one pencil is Rs 3