Mr. Akika has 49 21 cent and 31 cent stamps all told. The stamps are worth $13.39. how many of each kind of stamps does he have?

Respuesta :

Mr Akika has 18  21-cent stamp and 31 31-cent stamp.  

He has 49 21-cent and 31-cent stamps all told.

let

x = number of 21 cent stamp

y = number of 31 cent stamp

Therefore,

Total number of stamp:

  • x + y  = 49

Total cost of stamp:

  • 21x + 31y = 1339

Therefore,

x + y = 49

21x + 31y = 1339

21x + 21y = 1029

10y = 310

y = 310 / 10

y = 31

Therefore,

x = 49 - 31

x = 18

Therefore, Mr Akika has 18  21-cent stamp and 31 31-cent stamp.  

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