I have a project due in a couple hours that I don't have much work done on. It was supposed to be a group project, and my group got the wrong answer. Now it's too late to change anything they think and they are just going with the wrong answer, so I got permission from my teacher to do it by myself. Here's the problem:
Firas conducted an experiment with a glass of grape juice and a glass of milk. Both glasses were the same size, and were filled with the same amount of liquid. Firas took a large spoonful of milk from the milk glass and dumped it into the grape juice glass. After stirring carefully, he then took a large spoonful of liquid from the grape juice glass (which now had a little of the milk) and put it into the glass of milk.
Enjoying himself, and without taking a sip from either glass, Firas repeated the procedure: he took a spoonful from the milk glass and put it into the grape juice glass; after stirring carefully, he then took a spoonful from the grape juice glass and put it into the milk glass.
After all this mixing, Firas wondered, "Do I now have more milk in the grape juice glass, or grape juice in the milk glass?"
So, I know the answer, there is more milk in the grape juice glass. My team members think they are the same. I just need some numbers! I don't know how to do the fractions.
I am imagining there are 100 spoonfuls of liquid in each glass. After the first spoonful is moved to the grape juice, we have 101 spoonfuls in the gj glass and 99 in the milk. (for the following, G=grape juice, M=milk)
in the G glass, we have 100G+1M. We have to subtract one spoonful from that, taking an even amount from each of the 101 spoonfuls in the glass. I am SO stuck on what I'm subtracting. I've tried drawing pictures and EVERYTHING! Please help me! This is worth a huge part of my grade and I have no group to help me anymore.
Firas conducted an experiment with a glass of grape juice and a glass of milk. Both glasses were the same size, and were filled with the same amount of liquid. Firas took a large spoonful of milk from the milk glass and dumped it into the grape juice glass. After stirring carefully, he then took a large spoonful of liquid from the grape juice glass (which now had a little of the milk) and put it into the glass of milk.
Enjoying himself, and without taking a sip from either glass, Firas repeated the procedure: he took a spoonful from the milk glass and put it into the grape juice glass; after stirring carefully, he then took a spoonful from the grape juice glass and put it into the milk glass.
After all this mixing, Firas wondered, "Do I now have more milk in the grape juice glass, or grape juice in the milk glass?"
So, I know the answer, there is more milk in the grape juice glass. My team members think they are the same. I just need some numbers! I don't know how to do the fractions.
I am imagining there are 100 spoonfuls of liquid in each glass. After the first spoonful is moved to the grape juice, we have 101 spoonfuls in the gj glass and 99 in the milk. (for the following, G=grape juice, M=milk)
in the G glass, we have 100G+1M. We have to subtract one spoonful from that, taking an even amount from each of the 101 spoonfuls in the glass. I am SO stuck on what I'm subtracting. I've tried drawing pictures and EVERYTHING! Please help me! This is worth a huge part of my grade and I have no group to help me anymore.
Updates
+1 y
So, I discovered from this website: link that my original hypothesis was wrong, but I still like my reasoning better than my group's... I'm fixing my answer though. I've got the first step done. (following the wine and water example, with 100 units in each glass, and 10 units per spoonful) and after the first 2 spoonfuls are transferred, we have 90 10/11 units of gj and 9 1/11 of milk in the gj glass, and 90 10/11 units of milk and 9 1/11 of gj in the milk.
Updates
+1 y
Now I need to fix the fractions for the next transfer. I know there are 100 units in the glass, so I'm taking 1/10 of it in the spoonful, so is that 1/10 of each thing? I don't know how to do this! :P can't have anything to do with the fact that it's due in less than 2 hours right? lol
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