Let Marianne's height be represented by = x
Jean-Luc’s height be represented by = y
Given is : 1/4 of Marianne’s height is equal to 2/5 of Jean-Luc’s height.
[tex]\frac{x}{4}=\frac{2y}{5}[/tex]
We have to the ratio of Marianne’s height to Jean-Luc’s height i.e [tex]\frac{x}{y}[/tex]
So, ratio becomes : [tex]\frac{x}{y} =\frac{2*4}{5}[/tex]
[tex]\frac{x}{y} =\frac{8}{5}[/tex]
Hence, x:y = 8:5