Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the same store. If Jay bought 3 pens and 5 pencils, and Vijay bought 2 pens and 7 pencils, then which one of the following is correct?
The price of a pen is two times the price of a pencil
Given:
Jay bought 3 pens and 5 pencils
Vijay bought 2 pens and 7 pencils
Both Jay and Vijay spent same amount of money.
Calculation:
Let the price of each pen is x and each pencil is y.
Money spent by Jay = 3x + 5y
Money spent by Vijay = 2x + 7y
Since both amounts are equal,
⇒ 3x + 5y = 2x + 7y
⇒ x = 2y
So, price of pen is double that of pencil.
Hence, option 3 is correct.
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