At a local movie theater sodas cost 4.50 and bags of popcorn cost 1.50. If Kirk buys three times as many bags as popcorn as sodas and pays a total of 36 determine how many of each item Kirk bought

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Answer:

12 bags of popcorn and 4 sodas

Step-by-step explanation:

Quantity: Popcorn =3x       Sodas=x

Value: Sodas - $4.50, Popcorn - $1.50

Total Value: $36

3x(1.5)+4.5x=36

4.5x+4.5x=36

9x=36

x=4

Therefore, 12 bags of popcorn and 4 sodas

The number of sodas and popcorn Kirk bought is 4 and 12 respectively.

let

  • Number of sodas bought = x

  • Number of popcorn bought = 3x

  • Cost of soda = 4.50

  • cost of popcorn = 1.50

  • Total cost = 36

How to solve equation

(4.50×x) + (1.50×3x) = 36

4.50x + 4.50x = 36

9x = 36

x = 36/9

x = 4

Therefore, the number of sodas bought,x is 4 and the number of popcorn bought, 3x = 3 × 4 = 12

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