Question

# A person spent $$Rs 564$$ in buying pens and pencils if cost of each pen is $$Rs. 7$$ and each pencil is $$Rs. 3$$ and if the total number of things bought was $$108$$, how many of each type did he buy?

Solution

## $$\Rightarrow$$  Let the number of pens be $$x.$$$$\Rightarrow$$  Then, number of pencils $$=108-x$$$$\Rightarrow$$  Cost of pens $$=7x$$$$\Rightarrow$$  Cost of pencils $$=3(108-x)$$According to the question,$$7x+3(108-x)=564$$$$7x+324-3x=564$$$$4x+324=564$$$$4x=564-324$$$$4x=240$$$$\therefore$$   $$x=\dfrac{240}{4}=60$$$$\Rightarrow$$  Number of pencils $$=108-60=48$$$$\therefore$$  The number of pens bought are $$60$$ and pencil bought are $$48$$. Maths

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