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Ivenika [448]
3 years ago
8

Four cookies and three cupcakes code $13.25. Five cookies and two cupcakes cost $11.75. Give the system of equations that could

be used to find the cost of one cookie and the cost of one cupcake. Solve the system.

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

  • cookie: $1.25
  • cupcake: $2.75

Step-by-step explanation:

Let x and y represent the cost of a cookie and a cupcake, respectively.

  4x +3y = 13.25

  5x +2y = 11.75 . . . . . . the system of equations

___

By Cramer's rule:

  x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25

  y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75

The cost of one cookie is $1.25; the cost of one cupcake is $2.75.

_____

Cramer's rule gives the solution to the system of equations ...

  ax +by =c

  dx +ey = f

as ...

  ∆ = bd -ea

  x = (bf -ec)/∆

  y = (cd -fa)/∆

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