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A customer purchased 30 flowers for a bouquet. If the number of carnations is 3 less than twice the number of roses, which system of equations can be used to find the number of roses, r, and the number of carnations, c, in the bouquet?

Group of answer choices

c + r = 30 & 2c + r = 3

c + r = 30 & 2c − r = −3

c + r = 30 & c + 2r = 3

c + r = 30 & c − 2r = −3

Respuesta :

fichoh

The system of equations which models the scenario described are ; c + r = 30 & c - 2r = - 3

Let :

  • Number of carnations = c
  • Number of roses = r
  • Total number of flowers = 30

Creating a system of equations :

Number of carnation + Number of roses = 30

  • c + r = 30 - - - - (1)

Number of carnations is 3 less than twice the number of roses :

  • c = 2r - 3 - - - - (2)

Hence, the system of equations are :

  • c + r = 30 & c - 2r = - 3

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