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37 pens and 53 pencils cost rs.320, …

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37 pens and 53 pencils cost rs.320, while 53 pens and 37 pencils cost rs.400. Find the cost of a pen and that of pencil

    • Posted by Anantha Mauriyan 7 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Payal Singh 7 years, 11 months ago

    Let cost of a pen  = x

    Cost of a pencil = y

    According to ques..

    Case 1 :

    37x + 53y = 320  ....(1)

    Case 2 : 

    53x + 37y = 400 ...(2)

     

    Add(1) and (2), we get

    90x + 90 y = 720

    => x + y = 8 .... (3)

    Subtract (1) from (2). We get

    16x - 16y = 80

    => x - y = 5 ....(4)

    Add (3) and  (4)

    2x = 13

    x = 6.5

    So y = 1.5 

    Cost of pen = Rs. 6.5

    Cost of pencil = Rs 1.5

    0Thank You

    ANSWER
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