a student orders a pizza

1 day she eats half and 2 day she eats 1/3 of the rest

3 day she eats 1/4 of what is left

4 days she eats 1/5 of what is left

5 day she does not eat anymore because the pizza is not good anymore. how much of the whole pizza does she throw away?

Guest Aug 12, 2021

edited by
Guest
Aug 12, 2021

#1**0 **

set whole pizza as x

day 1 she eats 1/2x

day 2 she eats 1/3(1/2x), which is 1/6x

day 3 she eats 1/4(1/3x), which is 1/12x

day 4 she eats 1/5(1/4x) which is 1/20x

Total eaten over 4 days: (1/2+1/6+1/12+1/20)x = 4/5x

Answer = left over = 1/5 of the whole pizza

OrangeJuicy Aug 12, 2021