The system of equations that can be used to find the price of one bag
of popcorn and the price of one drink is:
4 b + 2 d = 43.50
b + 4 d = 17.00
The price of a drink is $1.75 to the nearest cent
Step-by-step explanation:
Nora and Mackenzie go to the movie theater and purchase refreshments
for their friends.
Let us write the system of equations that can be used to find the price
of one bag of popcorn and the price of one drink
Assume that the price of one popcorn bag is $b and the price of one
drink is $d
∵ The price of a popcorn bag = $b
∵ The price of a drink = $d
∵ Nora spends a total of $43.50 on 4 bags of popcorn and 2 drinks
∴ 4 b + 2 d = 43.50 ⇒ (1)
∵ Mackenzie spends a total of $17.00 on 1 bag of popcorn and 4 drinks
∴ b + 4 d = 17.00 ⇒ (2)
The system of equations that can be used to find the price of one bag
of popcorn and the price of one drink is:
4 b + 2 d = 43.50
b + 4 d = 17.00
Let us solve the system of equation to find the price of a drink
Multiply equation (2) by -4 to eliminate b
∵ 4 b + 2 d = 43.50 ⇒ (1)
∵ b + 4 d = 17.00 ⇒ (2)
∵ (-4) b + (-4)(4) d = (-4)(17.00)
∴ -4 b - 16 d = -68 ⇒ (3)
- Add equations (1) and (3)
∴ -14 d = -24.5
- Divide both sides by -14
∴ d = 1.75
∵ d represents the price of a drink
∵ d = 1.75
∴ The price of a drink = $1.75
The price of a drink is $1.75 to the nearest cent
Learn more:
You can learn more about the system of equations in brainly.com/question/9045597
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