Let's denote the number of bags of popcorn sold as x and the number of hot dogs sold as y.
From the information given, we can set up the following equations:
1) x + y = 121 (total number of food items sold)
2) 5x + 6y = 637 (total amount collected)
We can solve this system of equations using substitution or elimination method. Here, we will use substitution:
From equation 1,
x = 121 - y
Substitute this into equation 2:
5(121 - y) + 6y = 637
605 - 5y + 6y = 637
605 + y = 637
y = 32
Substitute y = 32 back into equation 1:
x + 32 = 121
x = 89
Therefore, the theatre sold 89 bags of popcorn.
the run down movie theatre sells only two kinds of food: popcorn and hot dogs. the usually stale popcorn sells for the outrageous price of $5 per bag, and the barely- cooked hot dogs sell for an unbelievable $6 each. If the theatre sold 121 food items, (popcorn and hot dogs combined) and collected a total of $637, how many bags of popcorn did it sell
1 answer
1 answer