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?

friend    slices he/she ate

A            0              

B            1

C            3

D            4

Step-by-step 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.

yes yes yes yes yes yes yes yes yes

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right