billybob6354 billybob6354
  • 11-10-2021
  • Mathematics
contestada

3 burgers and 2 drinks cost $35.00
2 burgers and 1 drink cost $22.00
What is the cost of each item?​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 12-10-2021

9514 1404 393

Answer:

  • burger: $9
  • drink: $4

Step-by-step explanation:

The two purchases can be described by ...

  3b +2d = 35

  2b +d = 22

Subtracting the first equation from twice the second, we get ...

  2(2b +d) -(3b +2d) = 2(22) -(35)

  b = 9 . . . . . . . . simplify

Then ...

  2(9) +d = 22

  d = 4 . . . . . . . . . subtract 18

A burger costs $9 and a drink costs $4.

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