Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the

Question

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?

Accepted Answer

Let the price of one pen be X and the price of one pencil be Y.

According to the question, Jay and Vijay spent an equal amount of money.

Jay's total expenditure = 3X + 5Y
Vijay's total expenditure = 2X + 7Y

Since the amounts are equal:
3X + 5Y = 2X + 7Y

To solve for X and Y, subtract 2X from both sides:
X + 5Y = 7Y

Now, subtract 5Y from both sides:
X = 2Y

This equation shows that the price of one pen (X) is equal to two times the price of one pencil (Y). Therefore, option C is correct.

Answer

A pencil costs more than a pen

Answer

The price of a pencil is equal to that of a pen

Answer

The price of a pen is two times the price of a pencil

Answer

The price of a pen is three times the price of a pencil

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?

Explanation

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