Question

Mario kept all of his movie and popcorn receipts for an entire year. The movie tickets were $12.00 each and all together he spent $325.60. There were only seven visits that he did not buy popcorn. He has a total of 39 receipts. How much did each bag of popcorn cost?

Answer 1

Answer:

$3.10

Explanation:

• For each visit ,(except 7),, he paid for both popcorn and the movie.

,

• He has a total of 39 receipts.

Therefore, the number of popcorns that he bought will be:

$\begin{gathered} Number\; of\; popcorns=\frac{39-7}{2}=\frac{32}{2}=16\text{ popcorns} \\ \implies Number\; of\; movies=39-16=23\text{ movies} \end{gathered}$

Since the movie tickets were $12.00 each, the amount spent on movies will be:

$Movie\; Expense=23\times\ 12=\ 276$

We then use this to determine the amount spent on popcorns.

$\begin{gathered} \text{Amount spent on popcorn}=Total-\text{Amount spent on movies} \\ =325.60-276 \\ =\ 49.60 \end{gathered}$

Recall that we earlier stated that Mario bought 16 bags of popcorn.

Therefore, the cost of a bag of popcorn will be:

$\frac{49.60}{16}=\ 3.10$

Each bag of popcorn costs $3.10.Each bag of popcorn costs