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.

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) (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

Start with the given equation.

Multiply both sides by 4.

Multiply 82 and 4 to get 328

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

Now simply take of the total number of pages to get

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) (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
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