How many students only created a dessert?

Question

Each student in a cooking class of 50 students is assigned to create a dessert, an appetizer, or both. The total number of students creating an appetizer is seven more than the number of students creating a dessert. If the number of students that create two dishes is the same as the number of students that create exactly one dish, how many students only created a dessert?

a) 9

b) 16

c) 25

d) 34

e) 41

 

Answer 1

appetizer
dessert
both
b = a + d = 50/2
a = d + 7
d + d + 7 = 25 ---> d = 9

Answer 2

Sun -- 25 one dish, 25 two dish ... all two-dishers appetize and dessert ... answer lies in 25 one-dishers ... Try 20a, 5d ... 18a, 7d ... 16a, 9d<== Answer: 9 desserts only

G'nite, sir :)