contestada

A movie theater sells 12 large bags of popcorn and 25 small bags of popcorn for $227. A large bag of popcorn cost $3.50 more than a small bag of popcorn. how much does each size cost?

Respuesta :

The large bag of popcorn cost $8.50 while the small bag of popcorn cost $5

Variables

Variables are letters use to represent number in an equation. Therefore,

Let

  • x = cost of small bag of popcorn
  • y = cost of large bag of popcorn

A large bag of popcorn cost $3.50 more than a small bag of popcorn. Therefore,

  • y = 3.50 + x

A movie theatre sells 12 large bags of popcorn and 25 small bags of popcorn for $227. Therefore,

  • 12y + 25x = 227

Let's combine the equation

y - x = 3.50

12y + 25x = 227

12y  - 12x = 42

37x = 185

x = 185 / 37

x = 5

Therefore,

y = 3.50 + 5

y = 8.50

learn more on algebraic expression here: https://brainly.com/question/12289581

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