Question

Hector is thirsty and opens up the refrigerator and finds a half full gallon of milk. Hector drinks 2/5 of the milk Later kevin opens up the refrigerator and finds some milk left in the gallon. He drinks 1/3 of what is left. Draw a picture of the situation above. Include the amount of milk before hector drank any, after hector drank some, and then after kevin drank some. What fraction is the entire gallon did kevin drink What fraction of the entire gallon is left after both hector and kevin drink some milk?

Answer 1

When Hector opens up the refrigerator he finds the next :

He drinks 2/5 of the milk he found, then he drank:

`(1)/(2)*(2)/(5)=(1*2)/(2*5)=(2)/(10)=(1)/(5)gallon`

And he left in the bottle of milk:

`(1)/(2)-(1)/(5)=(5-2)/(2*5)=(3)/(10)gallons\text{ of milk}`

And after that Kevin open up the refrigerator and finds the next:

Kevin drinks 1/3 of what is left, then he drinks:

`(3)/(10)*(1)/(3)=(3*1)/(10*3)=(3)/(30)=(1)/(10)\text{gallon of milk}`

And then he left:

`(3)/(10)-(1)/(10)=(3-1)/(10)=(2)/(10)=(1)/(5)`

And the milk he left in the bottle is: