SOLUTION: jasmine is reading a book. She has finished 3/4 of the book and has 82 pages left to read. How many pages has she already read.

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Question 322473: jasmine is reading a book. She has finished 3/4 of the book and has 82 pages left to read. How many pages has she already read.
Found 2 solutions by jim_thompson5910, nyc_function:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = total number of pages in the book.


Since "She has finished 3/4 of the book and has 82 pages left to read", this means that she has 1/4 of the book to finish and that 1/4 of the total number of pages is 82 pages. So this translates to the equation %281%2F4%29x=82


%281%2F4%29x=82 Start with the given equation.


x=82%2A4 Multiply both sides by 4.


x=328 Multiply 82 and 4 to get 328


So because x=328, and we let x be the total number of pages, this means that there are 328 pages in the book.


Now simply take 3%2F4 of the total number of pages to get

%283%2F4%29%2A%28328%29=%283%2A328%29%2F4=984%2F4=246


So Jasmine has read 246 pages so far.


Alternative Method: Once you find that there are 328 pages total, you can also simply subtract the 82 pages remaining to find that she has read 328-82=246 pages so far.

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
3x/4 + 82 = x
4*(3x/4) + 4*84 = 4*x
3x + 328 = 4x
328 = 4x - 3x
328 = x
Now, 3/4 * 328 = 246