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The total cost of 3 tables …

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The total cost of 3 tables and 2 chairs is 1850rupees.If a table costs 75rupees more than a chair,find the price of each.
  • 2 answers

Pranav Prabhakar 5 years, 4 months ago

Please answer my rest questions also

Yogita Ingle 5 years, 4 months ago

Let the cost of 1 table is x ∴ cost of 3 table is 3x 
Let the cost of 1 chair  is y ∴ cost of  2 chairs is 2y 
According to the question total cost of 3 tables and 2 chairs is 1850 .
∴  3x+2y=1850 ________(1)
and x=75+y  (_______(2)  (Since in question it is given that cost of table is 75 more than chair )
Solving equation (1) and (2) simultaneously 
3x+2y=1850  __(1)
x-y=75 _(2)
Multiplying equation (2) by 2 
we get 2x-2y=150  _(3) 
Adding (1) and (3) 
we get 5x=2000
∴x=400 therefore cost of  one table  is Rs 400
substituting the value of x in (2) we get 400-y=75 
∴y=400-75= 325 
therefore cost 1 chair is Rs 325 

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