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?
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