Well, let's paint a happy little picture here. In a 3 liter container, you can fit 24 of those 125ml cans. Just imagine all the beautiful colors and possibilities that could fill those cans, happy little accidents and all. Just remember, there are no mistakes, only happy little accidents.
thirty six
Here's how to proceed:Fill container B with 3 liters.Pour the 3 liters from container B into container A.Fill container B again with 3 liters.Carefully pour from container B into container A, until container A is full.Container A already had 3 liters, so it only takes 2 more liters to fill it to 5 liters, leaving 1 liter remaining in container B.
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1 liter = 1000 ml ⇒ 3 liter = 3000 ml
First fill 5 litre and pour it into 7 Litre. Then again fill 5 litre and pour to 7 litre. Now 3 litres are left in 5 litre container. Empty 7 litre and pour 3 litre in it. Again fill 5 litre and pour in 7 litre. Now 7 litre is full and 1 liter left in 5 liter container. Empty 7 litre and pour 1 litre which is left in 5 litre container. Now 1 litre is already in 7 litre container, now fill 5 litre and pour into 7 litre container. now it is 6 litre in 7 litre container. DONE!
There is most likely a more efficient way to do this, but this is the best I can do for now.Notation: ( x , y ) where x is the amount of water in the 5-liter container and y is the amount of water in the 7-liter container1. Fill the five-liter container ( 5 , 0 )2. Pour the five-liter container into the seven-liter container ( 0 , 5 )3. Fill the five-liter container ( 5 , 5 )4. Fill the seven-liter container with the five-liter container, leaving 3 liters in the five-liter container ( 3 , 7 )5. Pour out the seven-liter container ( 3 , 0 )6. Pour the five-liter container into the seven-liter container ( 0 , 3 )7. Fill the five-liter container ( 5 , 3 )8. Fill the seven-liter container with the five-liter container, leaving 1 liter in the five-liter container ( 1 , 7 )9. Pour out the seven-liter container ( 1 , 0 )10. Pour the five-liter container into the seven-liter container ( 0 , 1 )11. Fill the five-liter container ( 5 , 1 )12. Pour the five-liter container into the seven-liter container ( 0 , 6 )
thirty six
You have to have something else to build the 4 liters into. Call it The Tub.Fill the 5.Pour the 5 into the 3.That leaves 2 liters in the 5.Pour them into The Tub. You now have 2 liters in The Tub.Empty the 3.Fill the 5.Pour the 5 into the 3.That leaves 2 liters in the 5.Pour them into The Tub. You now have 4 liters in The Tub.QEDYou do not have a TUB, it is not in the problem.Fill the 5 liter containerPour it into the 3 liter container leaving 2 liters in the 5 liter containerEmpty the 3 liter containerPour the 2 liters from the 5 liter container into the 3 liter containerFill the 5 liter containerFill the remainder of the 3 liter container from the 5 liter containerSince the 3 liter container already had 2 liters in it, one liter from the 5 liter container will fill it leaving 4 liters in the 5 liter container.Solved
Fill the 3-liter bottle to the top, then pour the water into the 5-liter bottle. Refill the 3-liter bottle again and pour water into the 5-liter bottle until it's full. This leaves exactly 1 liter in the 3-liter bottle. Empty the 5-liter bottle, then pour the remaining 1 liter from the 3-liter bottle into the 5-liter bottle. Fill the 3-liter bottle once more and pour it into the 5-liter bottle, making a total of 4 liters.
-- Fill the 3 from the hose.-- Pour the 3 into the 5. The 5 container now has unfilled capacity of 2.-- Fill the 3 again from the hose.-- Pour the 3 slowly into the 5. It'll take only 2 to fill the 5 container.-- There is now 1 remaining in the 3 container. QED
Notes: There is most likely a more efficient way to do this, but this is the best I can do for now.Notation: ( x , y ) where x is the amount of water in the 5-liter container and y is the amount of water in the 7-liter container1. Fill the five-liter container ( 5 , 0 )2. Pour the five-liter container into the seven-liter container ( 0 , 5 )3. Fill the five-liter container ( 5 , 5 )4. Fill the seven-liter container with the five-liter container, leaving 3 liters in the five-liter container ( 3 , 7 )5. Pour out the seven-liter container ( 3 , 0 )6. Pour the five-liter container into the seven-liter container ( 0 , 3 )7. Fill the five-liter container ( 5 , 3 )8. Fill the seven-liter container with the five-liter container, leaving 1 liter in the five-liter container ( 1 , 7 )9. Pour out the seven-liter container ( 1 , 0 )10. Pour the five-liter container into the seven-liter container ( 0 , 1 )11. Fill the five-liter container ( 5 , 1 )12. Pour the five-liter container into the seven-liter container ( 0 , 6 )
Here's how to proceed:Fill container B with 3 liters.Pour the 3 liters from container B into container A.Fill container B again with 3 liters.Carefully pour from container B into container A, until container A is full.Container A already had 3 liters, so it only takes 2 more liters to fill it to 5 liters, leaving 1 liter remaining in container B.
There are 1000 millimeters (mm) of water in a liter. This is because 1 liter is equivalent to 1000 milliliters (ml), and 1 ml of water is equal to 1 cubic centimeter (cm³). Since 1 cm is equal to 10 mm, there are 10 mm in each cm, resulting in 1000 mm of water in a liter.
5 liters is 5000 mL. 5000/250 = 20 bottles.
3
If you weigh out 125g of solid butter and then melt it you will end up with exactly 125ml of liquid butter.This is just fractionally under 3/4 of a cup of liquid butter.
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