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.