SOLUTION: Joanna reads 2/7 of a book on the 1st day and 3/5 of the remaining on second day. if she still has 140 pages left to read, how many total pages are there in the book?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Joanna reads 2/7 of a book on the 1st day and 3/5 of the remaining on second day. if she still has 140 pages left to read, how many total pages are there in the book?       Log On


   

Question 1095074: Joanna reads 2/7 of a book on the 1st day and 3/5 of the remaining on second day. if she still has 140 pages left to read, how many total pages are there in the book?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = total number of pages in book
The 1st day:
+%28+2%2F7%29%2Ax+
( note there is +5%2F7+ of the book left to read )
The 2nd day:
+%283%2F5%29%2A%285%2F7%29%2Ax+
+%28+3%2F7+%29%2Ax+
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I can say:
+%282%2F7%29%2Ax+%2B+%28+3%2F7+%29%2Ax+%2B+140+=+x+
Multiply both sides by +7+
+2x+%2B+3x+%2B+980+=+7x+
+2x+=+980+
+x+=+490+
There are 490 pages in book
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check:
+%282%2F7%29%2A490+%2B+%283%2F7%29%2A490+%2B+140+=+490+
+140+%2B+210+%2B+140+=+490+
+490+=+490+
OK