Taylor and Layla go to the movie theater and purchase refreshments for their friends.Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn.Layla spends a total of $25.00 on 2 drinks and 8 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 drink, to the nearest cent.

The system of equations that can be used to find the price of one drink and the price of one bag of popcorn is 4 x + 9 y = 432 x + 8 y = 25The price of a drink is $8.50 Step-by-step explanation:Taylor and Layla go to the movie theater and purchase refreshments for their friendsTaylor spends a total of $43.00 on 4 drinks and 9 bags of popcornLayla spends a total of $25.00 on 2 drinks and 8 bags of popcornWe need to write  a system of equations that can be used to find theprice of one drink and the price of one bag of popcornAssume that the price of each drink is $x and the price of each bagof popcorn is $y∵ Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn∴ 4 x + 9 y = 43 ⇒ (1)∵ Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn∴ 2 x + 8 y = 25 ⇒ (2)The system of equations that can be used to find the price of one drink and the price of one bag of popcorn is 4 x + 9 y = 432 x + 8 y = 25Multiply equation (2) by -2 to eliminate x∵ -2(2 x) + -2(8 y) = -2(25)∴ -4 x - 16 y = -50 ⇒ (3)- Add equations (1) and (3)∴ -7 y = -7- Divide both sides by -7∴ y = 1 - Substitute y in equation (1) to find x∵ 4 x + 9(1) = 43∴ 4 x + 9 = 43- Subtract 9 from both sides∴ 4 x = 34- Divide both sides by 4∴ x = 8.5 ∵ x is the price of each drink∴ The price of a drink = $8.50The price of a drink is $8.50 Learn more:You can learn more about system of equation in brainly.com/question/6075514#LearnwithBrainly