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Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of one chair and one table is –
  • a)
    Rs. 800
  • b)
    Rs. 850
  • c)
    Rs. 900
  • d)
    Rs. 950
Correct answer is option 'B'. Can you explain this answer?
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Three chairs and two tables cost Rs. 1850. Five chairs and three table...
To solve this problem, we can use a system of equations. Let x be the cost of one chair and y be the cost of one table. Then we have:

3x + 2y = 1850 (equation 1)
5x + 3y = 2850 (equation 2)

We want to find the value of x + y, which represents the total cost of one chair and one table. To do this, we need to eliminate one of the variables (x or y) from the equations above. We can do this by multiplying equation 1 by 3 and equation 2 by -2, and then adding them:

9x + 6y = 5550
-10x - 6y = -5700
--------------
-x = -150
x = 150

Now that we know the value of x, we can substitute it into either equation 1 or equation 2 to find y. Let's use equation 1:

3(150) + 2y = 1850
450 + 2y = 1850
2y = 1400
y = 700

Therefore, the total cost of one chair and one table is:

x + y = 150 + 700 = 850

Answer: Rs. 850.
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Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of onechair and one table is –a)Rs. 800b)Rs. 850c)Rs. 900d)Rs. 950Correct answer is option 'B'. Can you explain this answer?
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