Job

Solve the following mathematical problems:

Price of 3 tables and 5 chairs is Tk. 2,000. Again, price of 5 tables and 7 chairs is 3200 Tk. What is the price of 1 table and 1 chair?

(Equation)

dsuc.created: 2 years ago | dsuc.updated: 1 year ago
dsuc.updated: 1 year ago

Let, the price of one table is x Tk.

 And the price of one chair is y Tk. 

According to the question

 3x + 5y =2,000....................(i) 

5x + 7y = 3, 200 ……..(ii) 

Now, we multiply equation (i) by 5 & (ii) by 3 & subtract equation (ii) from equation (i) 

15x + 25y = 1000015x+21y= 9.600  4y = 400   y = 4004  y = 100 

Putting the value of y in equation (i), we get 

 3x + 5y = 2000   3x + (5 * 100) = 2000   3x + 500 = 2000   3x = 2000 - 500   3x = 1,500 x=15003=500x=500

ans. The price of 1 table is 500 Tk. and 1 chair is 100 Tk.

1 year ago

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