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.

Answer 1

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.