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4 stools cost as much as 3 chairs. 5 stools cost $28 more than 2 chairs. How much do 2 stools and 2 chairs cost? Sep 8, 2021 ### 1+0 Answers #1 +254 0 Let the cost of 1 chair = x ∴ Cost of 3 chairs = 3x Since Cost of 4 stools = Cost of 3 chairs. ∴ Cost of 4 stools = 3x ∴ Cost of 1 stool = $${3x\over 4}{}{}$$.........(1) Cost of 2 chairs = 2x Since the cost of 5 stools is$28 more than 2 chairs.

∴ Cost of 5 stools = 2x + 28

∴ Cost of 1 stool = $${2x+28\over 5}{}{}$$............(2)

From equations  (1) and (2) we have,

Cost of 1 stool = $${3x \over 4}{}{}$$

Cost of 1 stool = $${2x+28 \over 5}\frac{}{}$$

∴ $${3x\over 4}{}{} = {2x+28\over5}$$

⇒ 15x = 8x + 112

⇒ 7x = 112
⇒ x = 16
∴ Cost of 1 chair = $16 And Cost of 1 Stool = $${3x \over 4}{}{} = {3\over4} * 16 = 12$$ Now we have, Cost of 1 chair =$16

∴ Cost of 2 chairs = 2 × $16 =$32

Cost of 1 stool = $12 ∴ Cost of 2 stools = 2 ×$12 = $24 Hence the cost of 2 chairs and 2 stools =$32 + $24 =$56

∴ The cost of 2 chairs and 2 stools = \$56

Sep 8, 2021