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4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table?
Most Upvoted Answer
4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs co...
Cost of one table is 300. cost of one chair is 262.5.cost of 2chairs and 1 table is 825.
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4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs co...
Problem:
4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table?
Solution:
Step 1: Assign Variables
Let's assign variables to the cost of a table and a chair:
- Let the cost of one table be x.
- Let the cost of one chair be y.
Step 2: Form Equations
Using the given information, we can form two equations:
- 4x + 4y = 2250 (four tables and four chairs cost Rs. 2250)
- 3x + 4y = 1950 (three tables and four chairs cost Rs. 1950)
Step 3: Solve for Variables
We can solve for x and y by using elimination or substitution method:
- Elimination Method:
- Multiply the second equation by 4:
- 12x + 16y = 7800
- Subtract the first equation from the second:
- 8x = 5550
- Divide both sides by 8:
- x = 693.75
- Substitute x into one of the equations:
- 4(693.75) + 4y = 2250
- 2775 + 4y = 2250
- 4y = -525
- y = -131.25
- This is not a possible answer since cost cannot be negative.
- Substitution Method:
- Solve one equation for x:
- x = (2250 - 4y)/4
- Substitute x into the other equation:
- 3[(2250 - 4y)/4] + 4y = 1950
- 1687.5 - 3y + 4y = 1950
- y = 262.5
- Substitute y into one of the equations to solve for x:
- 4x + 4(262.5) = 2250
- x = 343.75
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4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table?
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4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table?.
4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 tables and chairs together cost rs 2250 and 3 tables and 4 chairs cost rs 1950 find the cost of 2 chair n 1 table?.
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