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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?

 Aug 12, 2021
edited by Guest  Aug 12, 2021
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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

 Aug 12, 2021

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