Question

Four friends ordered a pizza cut into eight slices. The whole pizza was eaten, with each friend eating a different number of slices. If no slice was divided, and no friend ate more than the other three put together, how many slices did each friend eat?

Answer 1

person 1: 1 piece

person 2: 2 pieces

person 3: 3 pieces

person 4: 4 pieces

Step-by-step explanation: I don't know I did it in my head

Answer 2

friend slices he/she ate

A 0

B 1

C 3

D 4

Explanation:

Let's try to solve this problem by trial and error. First guess:

friend slices he/she ate

A 1

B 2

C 3

D 4

is incorrect because that gives a total of 10 slices. Then, one friend ate 0 slices. Therefore the options are: {0,1,2,3}, {0,2,3,4}, {0,1,3,4}. Nobody ate more than 4 slices because the criteria " no friend ate more than the other three put together" will not be satisfied. Only the last option satisfy the 8 slice criteria.