contestada

Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $552. They bought 34 pieces of equipment. What are a system of equations and an augmented matrix that can represent this situation

Respuesta :

sqdancefan

Answer:

  • 20b +12g = 552
  • b + g = 34

  [tex]\left[\begin{array}{cc|c}20&12&552\\1&1&34\end{array}\right][/tex]

Step-by-step explanation:

Two equations can be written: one for the total expense, and one for the number of pieces of equipment. The unknowns in this scenario are the numbers of bats and gloves, which we can represent using the variables b and g. Then the system of equations is ...

  20b +12g = 552 . . . . . . equation for total expense

  b + g = 34 . . . . . . . . . . . equation for pieces of equipment

The augmented matrix is the matrix of the coefficients in these equations:

  [tex]\left[\begin{array}{cc|c}20&12&552\\1&1&34\end{array}\right][/tex]

_____

The solution to these equations is ...

  (b, g) = (18, 16)

Otras preguntas