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.
