SOLUTION: There are 100g of sugar dissolved in 1.5l of water. How much sugar is present if you take 0.5qt of the liquid from the solution?

Question 1137381: There are 100g of sugar dissolved in 1.5l of water. How much sugar is present if you take 0.5qt of the liquid from the solution?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you have 100 grams of sugar dissolved in 1.5 liters of water.
you want to remove 1 quart of the solution.

you have 100 grams of sugar dissolved in 1.5 liters of water.

the ratio of grams of sugar to liters of water is 100 / 1.5.

1 quart is equal to 0.946353 liters.

1/2 of a quart is therefore equal to 1/2 * .946353 liters which is equal to .4731765 liters.

when you remove 1/2 of a quart of liquid, you are also removing 100 / 1.5 * .4731765 = 31.5451 grams of sugar.

this assumes the ratio of sugar to liquid remains the same.

the amount of liquid that is left is 1.5 - .4731765 = 1.0268235 liters.

the amount of sugar that is left is 100 / 1.5 * 1.0268235 = 68.4549 grams of sugar.

add up the sugar that is removed and the sugar that is left and you get 31.5451 + 68.4549 = 100 grams of sugar.

add up the liquid that is removed and the liquid that is left and you get .4731765 + 1.0268235 = 1.5 liters of water.

the assumption is that, when you remove the water, you are also removing the sugar that is dissolved in the water.

the question is: How much sugar is present if you take 0.5qt of the liquid from the solution?

if you are asking how much sugar is present in the half a quart that is removed, then the answer is 31.5451 grams.

if you are asking how much sugar is left in the solution after you have removed half a qoart, then the answer is 68.4549 grams.

hopefully, i understood your problem correctly.

let me know if there's another interpretation that i might have missed.

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