SOLUTION: it takes emmet 25 minutes to finish 2/3 of his homework. How long will it take to finish all of his work.

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Question 446090: it takes emmet 25 minutes to finish 2/3 of his homework. How long will it take to finish all of his work.
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
"It takes Emmet 25 minutes to finish 2%2F3 of his homework."
x = number of minutes it takes Emmet to finish ALL of his homework
%282%2F3%29x = number of minutes it takes for Emmet to finish 2%2F3 of his homework
%282%2F3%29x+=+25
Multiply both sides by 3: 2x+=+3%2825%29
2x+=+75
Divide both sides by 2: x+=+75%2F2
x = 37.5 or 37-1/2
Therefore, it will take 37-1/2 (or 37.5, whichever version--mixed number or decimal--you prefer) minutes for Emmet to finish all of his work.