Camila spends a total of $37.25 on 3 bags of popcorn and 2 drinks. Brooklyn spends a total of $88.50 on 6 bags of popcorn and 6 drinks.

complete question:

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Camila spends a total of $37.25 on 3 bags of popcorn and 2 drinks. Brooklyn spends a total of $88.50 on 6 bags of popcorn and 6 drinks.

Answer:

The price of a bag of pop corn is $7.75 and the price of a drink is $7.

Step-by-step explanation:

let

a = price of a bag of popcorn

b = price of a drink

Camilla expenses

3a + 2b = 37.25 ... (i)

Brooklyn expenses

6a + 6b = 88.50 ... (ii)

Bringing the equations together

3a + 2b = 37.25 ... (i)

6a + 6b = 88.50 ... (ii)

make a the subject of the formula in equation (ii)

6a + 6b = 88.50

6a = 88.50 - 6b

divide through by 6

a = 88.50 / 6 - b

a = 14.75 - b

insert the value of a in equation (i)

3a + 2b = 37.25 ... (i)

3 (14.75 - b) + 2b = 37.25

44.25 - 3b + 2b = 37.25

44.25 - b = 37.25

b = 44.25 - 37.25

b = 7

insert the value of b in equation (i)

3a + 2b = 37.25 ... (i)

3a + 2 (7) = 37.25

3a + 14 = 37.25

3a = 37.25 - 14

3a = 23.25

divide both sides by 3

a = 23.25/3

a = 7.75

The price of a bag of pop corn is $7.75 and the price of a drink is $7.

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