Math, asked by 590mohityadav9058428, 6 months ago

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

Answers

Answered by DharshiniRajasekar
3

Answer:

I hope you can understand

Attachments:
Answered by InfiniteSoul
4

\sf{\bold{\green{\underline{\underline{Given}}}}}

  • Cost of 3 table and 2 chairs = Rs. 1850
  • Cost of table is Rs. 75 more than a chair

______________________

\sf{\bold{\green{\underline{\underline{To\:Find}}}}}

  • Cost of chair and table = ??

______________________

\sf{\bold{\green{\underline{\underline{Solution}}}}}

⠀⠀⠀⠀

Let the cost of chair be x and the cost of table be y

⠀⠀⠀⠀

  • Cost of 3 tables and 2 chairs = Rs. 1850

⠀⠀⠀⠀

3y + 2x = 1850 ----- ( i )

⠀⠀⠀⠀

  • Cost of table is 75 more than chair

⠀⠀

x + 75 = y ----- ( ii )

⠀⠀⠀⠀

  • Putting value of y from eq ( ii ) in eq ( i )

⠀⠀⠀⠀

3 ( x + 75 ) + 2x = 1850

⠀⠀

3x + 225 + 2x = 1850

⠀⠀⠀⠀

5x + 225 = 1850

⠀⠀⠀⠀

5x = 1850 - 225

⠀⠀

5x = 1625

⠀⠀⠀⠀

x = 1625 / 5

⠀⠀⠀⠀

x = 325

⠀⠀⠀⠀

  • putting value of x in eq ( ii )

⠀⠀⠀⠀

x + 75 = y

⠀⠀

325 + 75 = y

⠀⠀⠀⠀

y = 400

______________________

\sf{\bold{\green{\underline{\underline{Answer}}}}}

  • Cost of chair = x = Rs. 325
  • Cost of table = y = Rs. 400
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