After Perry had stacked up 10 chairs in the hall after a party, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the seventh chair was 77.4 cm above that of the first. Thirdly, the chairs reached a height of 191.6 cm. What is the height of each chair?
Number of chairs that contributed to the height of 77.4 cm above the first chair
= 7 - 1
= 6

Height increase with each additional stacked chair
= 77.4 ÷ 6
= 12.9 cm

Number of chairs stacked on top of the first chair
= 10 - 1
= 9

Height increase of 9 additional stacked chairs
= 9 x 12.9
= 116.1 cm

Height of one chair
= 191.6 - 116.1
= 75.5 cm

Answer(s): 75.5 cm