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arsen [322]
2 years ago
9

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
x+y=16 2x+3.5y=47
​
Mathematics
1 answer:
guajiro [1.7K]2 years ago
7 0

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

<h3>Combined System of equation:</h3>
  • 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

learn more on system of equation: brainly.com/question/20313322?referrer=searchResults

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