Problem of the Week - Upper Elementary - Oct. 4, 2020 to Oct. 10, 2020

Oct 6, 2020 | West Covina

 

 

 

Upper Elementary:

 

Question: A frog eats half of the flies around a pond. A toad eats a third of the remaining flies. What fractional part of the flies are left at the pond? 

 

 

 

 

Answer:  1/3 of the flies

 

 

Solution:  After the frog eats half of the flies, the other half of the flies are left. The toad therefore eats a third of a half of the flies, and a third of a half is a sixth. Since 1/2 + 1/6 = 2/3, that means 1/3 of the flies are left at the pond.

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