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hanson is at a ball game with his family. he goes to the concession stand to buy soft pretzels and water bottles for everyone. a water bottle costs $2, and a pretzel costs $3.50. hanson buys 16 items and spends $47 in all. this system of equations can be used to represent the situation: x+y=16 2x+3.5y=47
[tex]x+y=16 2x+3.5y=47[/tex]
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Answer :

The system of equation that can be used to represent the situation is as follows:

  • x + y = 16
  • 2x + 3.5y = 47

The number of water bottle bought = 6

The number of pretzel bought = 10

Let

x = number of water bottle bought

y = number of pretzel bought

Hanson buys 16 items. Therefore,

  • x + y = 16

Hanson spends a total of $47. Therefore,

  • 2x + 3.5y = 47

Combined System of equation:

  • x + y = 16
  • 2x + 3.5y = 47

Therefore, let multiply equation(i) by 2

2x + 2y = 32

2x + 3.5y = 47

1.5y = 15

y = 15 / 1.5

y = 10

x + 10 = 16

x = 6

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