Final answer:
To find the number of cupcakes with peanut butter icing, subtract the fractions of cupcakes with other types of icing from 1.
Step-by-step explanation:
To find the number of cupcakes with peanut butter icing, we need to subtract the fractions that represent the cupcakes with other types of icing from 1, since the last cupcake has no icing.
Given that 1/4 have vanilla icing, 3/8 have chocolate icing, and 5/16 have peanut butter icing, we can calculate:
1 - (1/4 + 3/8 + 5/16) = 1 - (4/16 + 6/16 + 5/16) = 1 - 15/16 = 1/16
Therefore, the answer is d) 6 cupcakes have peanut butter icing.