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Robert and Robert go to the movie theater and purchase refreshments for their friends. Robert spends a total of $65.25 on 4 drinks and 9 bags of popcorn. Robert spends a total of $51.75 on 8 drinks and 3 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

Respuesta :

Answer: the price of a bag of popcorn is $5.3

Step-by-step explanation:

Let x represent the price of one drink.

Let y represent the price of one bag of popcorn.

Robert spends a total of $65.25 on 4 drinks and 9 bags of popcorn. This is expressed as

4x + 9y = 65.25- - - - - - - - - - - - - - -1

Robert spends a total of $51.75 on 8 drinks and 3 bags of popcorn.

This is expressed as

8x + 3y = 51.75- - - - - - - - - - - - - - -2

Multiplying equation 1 by 8 and equation 2 by 4, it becomes

32x + 72y = 522

32x + 12y = 207

Subtracting, it becomes

60y = 315

y = 315/60

y = 5.25

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