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Hassan paid $18.00 to buy 4 paperback books and 2 hardcover books. Aviv paid $36.25 to buy 5 paperback books and 5 hardcover books. The prices for all the hardcover books were the same, and the prices for all the paperback books were the same. What was the price of a hard cover book?

 Mar 7, 2020
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Hassan   4p+2h=18.00

Aviv         5p+5h=36.25          two equations and two unknowns.....solve for h and p

                                               multiply first equation by - 1.25 to get

               -5p -2.5h = -22.5      and add this to the second equation to get

                     2.5 h = 13.75

                          h = 5.50

 

then sub into one of the equations

    5p + 5(5.5) = 36.25      p =1.75  

 Mar 7, 2020

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