Question

Animesh bought 10 pencils and 7 erasers and the total amount he paid was ₹ 120. Choose the equation that represents the transaction correctly.
(Assume the price of a pencil to be ₹ $x$ and of an eraser to be ₹ $y$)

• A. $5x+3y=40$
• B. $10x-7y=120$
• C. $10x+7y=120$
• D. $7x+10y=120$

Answer 1

The correct option is C $10x+7y=120$

Total number of pencils $=10$
Price of one pencil $=x$
So, total price of 10 pencils
= Total number of pencils $\times$ price of one pencil
$=10x$

Total number of erasers $=7$
Price of one eraser $=y$
So, total price of 7 pencils
= Total number of erasers $\times$ price of one eraser
$=7y$

Total amound paid = 120
$\Rightarrow$ Total price of 10 pencils + Total price of 7 pencils = 120
$\Rightarrow 10x+7y=120$

Therefore, required equation is
$10x+7y=120$