Pizza Time

by Serhiy Grabarchuk Jr

Solution Step 0/0

Four friends ordered a large pizza cut into eight slices. The friends ate the entire pizza, each of them eating a different number of slices.

No slice was shared between the persons. And none of the friends ate more than the other three friends did in total.

Dividing the four friends into two groups – the 1st group with the two friends who ate the most slices in total, and the 2nd group with the two friends who ate the least number of slices in total – what is the difference between the number of slices eaten by the 1st group compared to the 2nd group?


There are only two ways in which a pizza can be distributed among the 4 friends so that each ate a different number of slices: a) 0, 1, 2, 5; and b) 0, 1, 3, 4. The (a) contradicts the condition that no one ate more than the other three in total (5 > 0 + 1 + 2). Thus, only the (b) option is correct.

The 1st group ate 7 slices (3 + 4) and the 2nd group ate 1 slice only (0 + 1). The 1st group ate 7x more slices than the 2nd one.

Check 2x
Check 3x
Check 5x
Check 7x