Answer: A popcorn costs $9
Explanation:
Let popcorn be represented by p
Let drinks be represented by d.
Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75
Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138
p + 3d = 36.75 ........... i
3p + 12d = 138 ............ ii
Multiply equation i by 3
Multiply equation ii by 1
3p + 9d = 110.25 ....... iii
3p + 12d = 138 ............ iv
Subtract equation iv from iii
-3d = -27.75
3d = 27.75
Divide both side by 3
d = 9.25
A drink cost $9.25
From equation i
p + 3d = 36.75
P + 3(9.25) = 36.75
P + 27.75 = 36.75
P= 36.75 - 27.75
P= $9
A popcorn cost $9