Final answer:
The ratio of Marianne's height to Jean-Luc's height is 8/5 or 1.6 when given that 1/4 of Marianne's height equals 2/5 of Jean-Luc's height.
Step-by-step explanation:
To find the ratio of Marianne's height to Jean-Luc's height, given that 1/4 of Marianne's height is equal to 2/5 of Jean-Luc's height, we set up the equation:
M/4 = (2/5)J
Where M represents Marianne's height and J represents Jean-Luc's height. Multiplying both sides by 4 gives us M = (8/5)J. To find the ratio of Marianne's height to Jean-Luc's height, we divide M by J:
M/J = (8/5)
Therefore, the ratio of Marianne's height to Jean-Luc's height is 8/5 or 1.6.