The total cost of a jacket and a pair of shoes was $91.43. if the price of the jacket was $7.65 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.



Answer :

The price of the jacket in decimals is $ 41.89

The decimal numeral system is widely used to express both integer and non-integer numbers.

  • The Hindu-Arabic number system has been expanded to include non-integer values. The term "decimal notation" is used to refer to the way that numbers are represented using the decimal system.
  • The decimal system has been developed to represent any real number in an endless number of decimals by using any number of digits after the decimal separator (see decimal representation).
  • Since there are only a few non-zero digits beyond the decimal separator, the decimal numerals in this context are sometimes referred to as terminating decimals.
  • An unending decimal that, at a given point, continues to use the same set of digits repeatedly is said to be recurrent.

Let the price of the jacket be x.

Price of the pair of shoes = x + 7.65

Total cost of both the pieces = x + x + 7.65 = 2x+7.65

But the total cost is $91.43

Hence forming a linear equation we get :

$91.43= 2x+7.65

solving the linear equation for x we get :

x=$ 41.89

hence the cost of the jacket is $ 41.89 .

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