1/4 of Marianne's height is equal to 2/5 of Jean-Luc's height. Find the ratio of Marianne's height to Jean-Luc's height.
Let's say Marianne's height is represented by "M" and Jean-Luc's height is represented by "J".
We know that:
1/4 M = 2/5 J
To get rid of the fractions, we can multiply both sides by the least common multiple of 4 and 5, which is 20:
(1/4 M) * 20 = (2/5 J) * 20
Simplifying:
5M = 8J
Now we can find the ratio of Marianne's height to Jean-Luc's height by dividing both sides by J:
5M/J = 8J/J
Simplifying:
5M/J = 8
So the ratio of Marianne's height to Jean-Luc's height is 5:8.