Haley and nicole stopped at the school bookstore for extra supplies. Haley bought 8 pencils and 3 folders and spent 10.39.Nicloe bought 5 pencils and 4 folders and spent 10.51. How much does a floder cost

Respuesta :

Answer:

The answer to your question is: a folder cost $1.92

Step-by-step explanation:

Haley bought 8 pencils and 3 folders   spent 10.39

Nicole bought 5 pencils and 4 folders spent 10.51

Folder = ?

pencil = x

folder = y

Equations

        8x + 3 y = 10.39           (1)

        5x  + 4 y = 10.51           (2)

Solve these equations

    4    ( 8x + 3 y = 10.39 )               32x + 12 y = 41.46

   -3    ( 5x  + 4 y = 10.51)              -15x   - 12y  =-31.53

                                                    17 x          0   = 9.93

                                                       

                                                        x = 9.93 / 17

                                                         x = 0.58   pencil

           8(0.58) + 3y = 10.39

           4.64 + 3y = 10.39

           3y = 10.39 - 4.64

           3y = 5.75

             y = 5.75 / 3

             y = 1.92   folder

 

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