Question

Form the pair of linear equations in two variables from this situation by taking cost of one notebook as Rs. x and cost of one pen as Rs. y.
Deepak bought 3 notebooks and 2 pens for Rs. 80. His friend Ram said that price of each notebook could be Rs. 25. Then three notebooks would cost Rs.75, the two pens would cost Rs.5 and each pen could be for Rs. 2.50. Another friend Ajay felt that Rs. 2.50 for one pen was too little. It should be at least Rs. 16. Then the price of each notebook would also be Rs.16.Lohith also bought the same types of notebooks and pens as Aditya. He paid 110 for 4 notebooks and 3 pens. Later, Deepak guess the cost of one pen is Rs. 10 and Lohith guess the cost of one notebook is Rs. 30.
Form the pair of linear equations in two variables from this situation by taking cost of one notebook as Rs. x and cost of one pen as Rs. y.

Answer 1

$\huge\mathfrak\green{Answer}$

$\large\mathfrak\purple{note \: 3 \: notebook + 2 \: pens}$

EQUATION

$\small\mathfrak\pink{3x+2y=80}$

$\small\mathfrak\pink{4x+3y=110}$

$\small\mathfrak\pink{8x + 6y20}$

$\small\mathfrak\pink{9x + 6y = 240}$

$\large\mathfrak\purple{so \: cost \: of \: notebook \: is \:20 }$

$\small\mathfrak\pink{x = 20}$

$\large\mathfrak\purple{now \:total \: cost}$

$\large\mathfrak\pink{15x + 12y = 15 \times 20 = 420}$