Question

According to a survey conducted by the National Pizza Foundation that I just now made up, out of 109 customers surveyed, 32 prefer pizzas with just pepperoni, 40 with just sausage, and 18 with only onions. Thirteen big-time carnivores like pepperoni and sausage, 10 customers prefer sausage and onions, 9 customers like pep-peroni and onions; in each case, the third item could be included as well. Seven go all out, ordering all three.

(a) How many customers prefer pepperoni, or sausage, or pepperoni and sausage with no onions?

A.22
B.36
C.45
D.53
(b) What about sausage, or onions, or sausage and onions with no pepperoni?

A.19
B.27
C.31
D.46

(c) How many go the boring route—none of those toppings?

A.5
B.9
C.13
D.17

Answer 1

To find number of customers who prefer pepperoni, sausage, or pepperoni and sausage with no onions, add up the individual preferences and subtract the overlap. The number of customers who prefer none of those toppings is found by subtracting number of customers who prefer any of toppings from the total number of customers, which gives us 9.

Step-by-step explanation:

To answer part (a), we need to find the number of customers who prefer pepperoni or sausage or pepperoni and sausage with no onions. To do this, we add up the number of customers who prefer pepperoni, the number of customers who prefer sausage, and subtract the number of customers who prefer both pepperoni and sausage.

Number of customers who prefer pepperoni = 32

Number of customers who prefer sausage = 40

Number of customers who prefer both pepperoni and sausage = 13

Therefore, the number of customers who prefer pepperoni or sausage or pepperoni and sausage with no onions is 32 + 40 - 13 = 59.

To answer part (b), we follow the same process, adding up the number of customers who prefer sausage, the number of customers who prefer onions, and subtracting the number of customers who prefer both sausage and onions.

Number of customers who prefer sausage = 40

Number of customers who prefer onions = 18

Number of customers who prefer both sausage and onions = 10

Therefore, the number of customers who prefer sausage or onions or sausage and onions with no pepperoni is 40 + 18 - 10 = 48. In part (c), we need to find the number of customers who prefer none of those toppings. To do this, we subtract the number of customers who prefer any of the toppings from the total number of customers.

Total number of customers = 109

Number of customers who prefer any of the toppings = 59 + 48 - 7 = 100

Therefore, the number of customers who prefer none of those toppings is 109 - 100 = 9.