After Elijah had stacked up 16 chairs in the hall after a conference, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the ninth chair was 84.8 cm above that of the first. Thirdly, the chairs reached a height of 240.4 cm. What is the height of each chair?
Number of chairs that contributed to the height of 84.8 cm above the first chair
= 9 - 1
= 8

Height increase with each additional stacked chair
= 84.8 ÷ 8
= 10.6 cm

Number of chairs stacked on top of the first chair
= 16 - 1
= 15

Height increase of 15 additional stacked chairs
= 15 x 10.6
= 159 cm

Height of one chair
= 240.4 - 159
= 81.4 cm

Answer(s): 81.4 cm