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The total cost of a jacket and a pair of shoes was $95.11. If the price of the jacket was $2.79 less than the pair of shoes, what was the price of the jacket? Express your answer as a simplified fraction or a decimal rounded to two places.​

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Fichohidn

The cost of the jacket purchased using the System of equation is $46.16

Given the cost prices :

  • Total cost = $95.11
  • Cost of shoes = x
  • Cost of jacket = x - 2.79

We could set up an equation relating the cost of each item to the total Cost :

Total cost = cost of jacket + cost of shoes

95.11 = x - 2.79 + x

95.11 = 2x - 2.79

95.11 + 2.79 = 2x

97.90 = 2x

x = 97.90 / 2

x = 48.95

Cost of jacket = $48.95 - 2.79 = $46.16

Therefore, Cost of jacket is $46.16

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