Respuesta :

Kenile
5.52

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The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

  • A knife is 3 times the cost of the spoon.
  • 9 spoons and 12 knives costs £82.80.

Solution :

  • This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
  • Linear calculations that requires more than one variable can be done with the help of linear equations.
  • The standard form of a linear equation in one variable is ax + b = 0.

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

[tex]9x + 12\times(3x)= 82.80[/tex]

[tex]9x + 36x = 82.80[/tex]

[tex]45x =82.80[/tex]

[tex]x = 1.84[/tex]

Therefore the cost of 1 knife = [tex]1.84\times 3 = 5.52[/tex].

For more information, refer the link given below

https://brainly.com/question/2263981

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