Question

The price of a pen is rupees 42 and of a notebook is rupees 18. calculate how many pens and notebooks you can buy for Rs 480 if you want to buy an equal amount of both

Answer 1

$\underline{\textbf{Hey Mate Here Is Your Answer }}$

$\underline{\textbf{Given That..}}$

The price of a pen is rupees 42 and of a notebook is rupees 18, And Now We Need To Calculate How Many

Pens And Notebooks We Can Buy For ₹ 480 If We Want To Buy An Equal Amount Of Both..

Now Let's Move For Solution..

$\underline{\textbf{Solution...}}$

Now To Find Number Of Pens And Note Book Can Be Brought At Rupees 480 Follow The Simple Step..

$\underline{\bold{Step\:-1) \:\:D e f i ne\: All\: Required\:terms\: With\: Help\: Of\: Variables}}$

So Now According To Question The Number Of Pen And Book Should Be Same ..

Therefore Let,

$\textbf{No: Of Pens That Can be Brought = X}$

and Similarly

$\textbf{No: Of Books Can Be Brought = X}$

So Now Cost of

$\textbf{One Book = 18rs}$

$\textbf{And Cost Of One Pen = 42rs}$

Therefore

$\textbf{Cost Of X No. Of Books Would Be = 18x}$

And

$\textbf{Cost Of X No. Of Pens Would Be = 42x}$

$\underline{\textbf{Step-2 ) Form An Equation From the Given Information}}$

Now In Question It's Said That We Need To Buy Both Pen and Books At Sum Of ₹480

So by This We Have ..

$\textbf{Totlal, Cost Of Books + Cost of Pens = 480rs}$

So We Have ...

$\boxed{\textbf{ 18x + 42x = 480rs}}$

$\textbf{Step-3 ) Solve The Equation}$

So Now We Have ..

$\textbf{ 18x + 42x = 480rs}$

Now Adding Like Terms In LHS We Have..

$\textbf{60x = 480rs }$

Now Taking 60 To RHS We Have..

$\textbf{ X = \frac{480}{60}}$

That Is We Have...

$\boxed{\mathbf{X = 8}}$

$\textbf{Therefore Number Of Books That Can Be Brought = \boxed{8}}$

$\textbf{Therefore Number Of Pens That Can Be Brought = \boxed{8}}$

$\underline{\textbf{Hence The Required Answer Is ..}}$

$\boxed{\textbf{8\:No. Of Books And Pens}}$

$\large{\bold{Thanks}}$