Answer: 8 : 5
Step-by-step explanation:
We can create a ratio of Mai's height to John's height by setting the fractions equal to each other. Keep in mind that 1/4 of Mai’s height is equal to 2/5 of Jon’s height, so the one-fourth represents Jon's height and the two-fifths represents Mai's height.
[tex]\displaystyle \frac{1}{4} =\frac{2}{5}[/tex]
Next, we will simplify these fractions a bit.
[tex]\displaystyle \frac{1*20}{4*1} =\frac{2*20}{5*1}[/tex]
[tex]\displaystyle \frac{20}{4} =\frac{40}{5}[/tex]
5 = 8
Lastly, we can rewrite this as a ratio.
Mai's Height : Jon's Height
8 : 5