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Shikhar and Ashish went to a stationery shop to buy some pens and pencils. Hrithik bought 6 pencils and 7 pens for Rs 47, and Abhishek bought 3 pencils and 5 pens for Rs 31. If each pencil costs Rs x and each pen costs Rs y, then what are the set of equations that represents the given information?

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6x + 7y = 47 and 3x + 5y = 31

6x + 7y = 7 and 3x + 5y = 31

6x + 7y = 47 and 3x + 5y = 17

6x + y = 47 and 3x + 5y = 31

answer is A.

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Detailed Solution

The respective costs of 1 pencil and 1 pen are Rs x and Rs y.

Hrithik spent a total of Rs 47 to buy 6 pencils for Rs 6x and 7 pens for Rs 7y.

∴ 6x + 7y = 47

Abhishek spent a total of Rs 31 to buy 3 pencils for Rs 3x and 5 pens for Rs 5y.

∴ 3x + 5y = 31

Therefore, the required equations are 6x + 7y = 47 and 3x + 5y = 31.

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