STD 9 th . Chapter Pairs of Equation. The cost of 4 chairs and 5 tables is Rs.6600/- and the cost of 5 chair’s and 3 table’s as Rs.5000

Question

STD 9 th . Chapter Pairs of Equation.
The cost of 4 chairs and 5 tables is Rs.6600/- and the cost of 5 chair’s and 3 table’s as Rs.5000/- at the same prices . What are the prices of table and chair.​

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Jade 1 month 2021-09-21T23:11:36+00:00 2 Answers 0 views 0

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    0
    2021-09-21T23:12:48+00:00

    Let the cost of 1 chair be  Rs. x  

        cost of the table is Rs. y  

    According to the question,  

    cost of 4 chairs and 3 tables is  Rs. 2100

    So,  4x + 3y = 2100   ………… (i)  

    Also,

    cost of 5 chairs and 2 tables is Rs.1750  

    So  5x + 2y = 1750 ……….. (ii)  

    from equation (i) and (ii)  

    2 × (i) gives 8x + 6y = 4200  ……… (iii)  

    3 × (ii) gives 15x + 6y = 5250 ……….. (iV)  

    {(iii) – (iV)} ,

    15x + 6y – 8x – 6y = 5250 – 4200  

    7x = 1050  

    x=1050/7  

    So, x = 150  

    putting the value of x in equation (ii), we get  

    ⇒  5(150) + 2y = 1750  

    ⇒750 + 2y = 1750  

    ⇒2y= 1750 – 750  

    ⇒2y = 1000

    ⇒ y =1000/2

    ⇒ y =500

    Hence,  the cost of each chair,x = Rs. 150  

    cost of each table,y = Rs. 500  

    Please mark it as the brainliest

    0
    2021-09-21T23:13:17+00:00

    Answer:

    Let the cost of 1 chair be  Rs. x  

        cost of the table is Rs. y  

    According to the question,  

    cost of 4 chairs and 3 tables is  Rs. 2100

    So,  4x + 3y = 2100   ………… (i)  

    Also,

    cost of 5 chairs and 2 tables is Rs.1750  

    So  5x + 2y = 1750 ……….. (ii)  

    from equation (i) and (ii)  

    2 × (i) gives 8x + 6y = 4200  ……… (iii)  

    3 × (ii) gives 15x + 6y = 5250 ……….. (iV)  

    {(iii) – (iV)} ,

    15x + 6y – 8x – 6y = 5250 – 4200  

    7x = 1050  

    x=1050/7  

    So, x = 150  

    putting the value of x in equation (ii), we get  

    ⇒  5(150) + 2y = 1750  

    ⇒750 + 2y = 1750  

    ⇒2y= 1750 – 750  

    ⇒2y = 1000

    ⇒ y =1000/2

    ⇒ y =500

    Hence,  the cost of each chair,x = Rs. 150  

    cost of each table,y = Rs. 500  

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