Brianna spends a total of $24.25 on 3 drinks and 4 bags of popcorn. Chloe spends a total of $37.00 on 9 drinks and 1 bag 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.
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Brianna spends a total of $24.25 on 3 drinks and 4 bags of popcorn. Chloe spends a total of $37.00 on 9 drinks and 1 bag 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.
3D + 4P = 24.25 mult both sides x3 9D + 12P = 72.75
9D + P = 37.00 9D + P = 37.00
subtract 11P = 35.75
P = 3.25
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