A survey of 25 children was taken to determine the type of dessert they like in their lunch. 20 students like cookies in their lunch, 15 students like
cupcakes in their lunch and 2 students like neither. Determine the number
of students that like only cupcakes in their lunch for dessert.

Step-by-step explanation:

Total=A+B+C−(sum of 2−group overlaps)+(all three)+NeitherTotal=A+B+C−(sum of 2−group overlaps)+(all three)+Neither .

75 = 48 + 45 + 58 - (28 + 37 + 40) + 25 + Neither --> Neither = 4.

Only Pizza = P - (P and H + P and T - All 3) = 48 - (28 + 40 - 25) = 5;

Only Hoagies = H - (P and H + H and T - All 3) = 45 - (28 + 37 - 25) = 5;

Only Tacos = T - (P and T + H and T - All 3) = 58 - (40 + 37 - 25) = 6.

The number of students who like none or only one of the foods = 4 + (5 + 5 + 6) = 20.