SOLUTION: Thea can read a 380-page novel in 4 hours. At this rate, how many pages will she read if she has been reading for 1 1/2 hours? (using 1 variable)

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Thea can read a 380-page novel in 4 hours. At this rate, how many pages will she read if she has been reading for 1 1/2 hours? (using 1 variable)      Log On


   



Question 1180453: Thea can read a 380-page novel in 4 hours. At this rate, how many pages will she read if she has been reading for 1 1/2 hours? (using 1 variable)
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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To solve this problem using one variable (as requested), write a proportion


    380%2F4 = x%2F1.5.


In this proportion,  1.5  represents  1 1/2  hours;   x represents  the unknown number of pages.


     +-----------------------------------------------------+
     |   The proportion expresses the fact that            |
     |   the rate of reading is the same in both cases.    |
     +-----------------------------------------------------+



From the proportion, find x


    x = %28380%2A1.5%29%2F4 = 142.5 pages = 142 1/2 pages.    ANSWER

Solved, answered and carefully explained.

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