Answer:the cost of one drink is $7
the cost of 1 bag of popcorn is $6.5
Step-by-step explanation:
Let x represent the cost of one drink.
Let y represent the cost of 1 bag of popcorn.
Aiden spends a total of $46.00 on 6 drinks and 1 bag of popcorn. This means that
6x + y = 46 - - - -- - - - - - -1
Jeremiah spends a total of $134.00 on 12 drinks and 8 bags of popcorn. This means that
12x + 8y = 134 - - - - - - - - 2
Multiplying equation 1 by 8 and equation 2 by 1, it becomes
48x + 8y = 368
12x + 8y = 134
Subtracting equation 2 from equation 1, it becomes
36x = 234
x = 234/36 = 6.5
Substituting x = 6.5 into equation 1, it becomes
6 × 6.5 + y = 46
39 + y = 46
y = 46 - 39 = 7
