The movie theater concession stand had a total of 350 customers on Friday.
175 bought popcorn
150 bought a fountain drink
50 bought both popcorn and a fountain drink
Fill in the two-way table below to summarize the data by dragging and dropping the appropriate numbers into the box.
Bought popcorn Did not buy popcorn Total
Bought a fountain soda Response area Response area
Did not buy a fountain soda Response area Response area Response area
Total Response area Response area
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 100 150
Did not buy a fountain soda 125 75 200
Total 175 175 350
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 Response area 150
Did not buy a fountain soda Response area Response area 175
Total 175 175 350
To fill in the two-way table, we need to calculate the number of customers who bought a popcorn and a fountain drink, as well as those who only bought popcorn or only bought a fountain drink.
First, let's find the number of customers who bought both popcorn and a fountain drink. We are given that 50 customers bought both, so we can fill that in:
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 Response area Response area
Did not buy a fountain soda Response area Response area Response area
Total Response area Response area
Next, let's find the number of customers who only bought popcorn. We can do this by subtracting the number of customers who bought both popcorn and a fountain drink (50) from the total number of customers who bought popcorn (175).
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 Response area Response area
Did not buy a fountain soda 125 Response area Response area
Total 175 Response area Response area
Finally, let's find the number of customers who only bought a fountain drink. We can do this by subtracting the number of customers who bought both popcorn and a fountain drink (50) from the total number of customers who bought a fountain drink (150).
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 Response area Response area
Did not buy a fountain soda 125 Response area Response area
Total 175 Response area Response area
Now, let's find the number of customers who did not buy popcorn or a fountain drink. We can do this by subtracting the number of customers who bought popcorn (175) from the total number of customers (350), and also by subtracting the number of customers who bought a fountain drink (150) from the total number of customers (350). Since these two numbers could be different, we take the larger value.
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 Response area Response area
Did not buy a fountain soda 125 Response area Response area
Total 175 Response area Response area
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 Response area Response area
Did not buy a fountain soda 125 Response area Response area
Total 175 175 Response area
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 Response area Response area
Did not buy a fountain soda 125 Response area Response area
Total 175 175 350
Thus, the filled two-way table is:
Bought popcorn Did not buy popcorn Total
Bought a fountain soda 50 125 175
Did not buy a fountain soda 125 350-125=225 350
Total 175 225 350