Chemistry Help, how much of the ice melts?

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Taishi

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I've been working this problem for about a half an hour from a previous test to review for finals, but I can't seem to get the right answer. I really need to know how to do this before my exam so any help/guidance will be appreciated.

10.0 g of steam 100˚C is bubbled into a mixture of 250 g of water and 100 g of ice at 0˚C. All of the steam condenses to water. How much of the ice melts?

Specific Heat of water=4.184J K^-1 g^-1
Latent heat of fusion of water=333 J g^-1
Latent Heat of vaporization of water=2260 J g^-1

Thank you for your help guys!
 
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