After Mark had stacked up 15 chairs in the basketball court after a gathering, 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 124 cm above that of the first. Thirdly, the chairs reached a height of 309.8 cm. What is the height of each chair?
Number of chairs that contributed to the height of 124 cm above the first chair
= 9 - 1
= 8

Height increase with each additional stacked chair
= 124 ÷ 8
= 15.5 cm

Number of chairs stacked on top of the first chair
= 15 - 1
= 14

Height increase of 14 additional stacked chairs
= 14 x 15.5
= 217 cm

Height of one chair
= 309.8 - 217
= 92.8 cm

Answer(s): 92.8 cm