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Rajan@2021
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Guru

23 spoon and 17 forks together cost is rs 1770, while 17 spoons and 23 forks together cost Rs 1830. Find the cost of a spoon and that of a fork.

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This is the basic and conceptual question from linear equations in two variables in which we have to find the cost of a spoon and a fork by solving the equations if 23 spoon and 17 forks together cost is  ₹1770, while 17 spoons and 23 forks together cost ₹1830.

RS Aggarwal, Class 10, chapter 3E, question no 2

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1 Answer

  1. Let the cost of a spoon be Rs.x and that of a fork be Rs.y.

    Then

    23x + 17y = 1770 ……….(i)

    17x + 23y = 1830 ………(ii)

    Adding (i) and (ii), we get

    40x + 40y = 3600

    ⇒ x + y = 90 ………..(iii)

    Now, subtracting (ii) from (i), we get

    6x – 6y = -60

    ⇒ x – y = -10 ………..(iv)

    Adding (iii) and (iv), we get

    2x = 80

    ⇒ x = 40

    Substituting x = 40 in (iii), we get

    40 + y = 90

    ⇒ y = 50

    Hence, the cost of a spoon that of a fork is Rs.40 and Rs.50 respectively

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