If 3 chairs and 1 table costs Rs. 1500 and 6 chairs and 1 table costs Rs.2400. Form

linear equations to represent this

2 thoughts on “If 3 chairs and 1 table costs Rs. 1500 and 6 chairs and 1 table costs Rs.2400. Form <br /><br />linear equations to represent this”

1. Answer:

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   Step-by-step explanation:

   Let the cost of 1 chair be Rs x and the cost of 1 table be Rs y.

   So, 3x + y = 1500…(1)

   And 6x + y = 2400…(2)

   Equations (1) and (2) represent the situation described in the question.

   From (1) and (2)

   3x = 900

   So, x = 300

   So, y = 600

   So, the cost of 1 chair is Rs 300

   And the cost of 1 table is Rs 600

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2. Answer:

   let’s the chair cost price be x and table be y

   from 1st condition,

   3x + y = 1500 —–(1)

   6x + y = 2400 —–(2)

   subtract the equations 1st and 2nd

   6x + y = 2400

   – 3x – y = -1500

   ___________

   3x = 900

   x = 300 —–(3)

   put the value in equations 1st

   6 × 300 + y = 2400

   1800 + y = 2400

   y = 2400 – 1800

   y = 600

   therefore, cost price of a chair is rs 300 and table is rs.600.

   Reply