A set of eight built-in bookshelves is to be constructed in a room with a floor-to-ceiling clearance of 9 ft 6 in. If each shelf is 3/4 in. thick and equal spacing is desired between shelves, what is the space between the shelves? (Assume there is no shelf against the ceiling and no shelf on the floor.)
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we are losing 8 shelves at 3/4 inch each, for a total of 6 inches, leaving exactly 9 feet of open space. the eight shelves will make NINE empty spaces (draw a diagram to prove it). therefore the center of each shelf needs to be at 1 foot, 2 feet. 3 feet .............
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9.5ft * 12in/ft = 9x + 8(0.75in)
114in = 9x + 6in
108in = 8x
13.5in = x
114in = 9x + 6in
108in = 8x
13.5in = x