Answer:
y : x: = 5 : 4
Step-by-step explanation:
x to y = 4 to 5
Rewrite;
x:y = 4:5
Remember, a ratio is another way of representing a fraction, hence one can do the same operations that one could do with a fraction. Therefore, one can take the cross products of a ratio;
x : y= 4 : 5
5x = 4y
Inverse operations;
5x = 4y
x = [tex]\frac{4}{5}[/tex]y
Now substitute this into the equation y:x
y : [tex]\frac{4}{5}[/tex]y
Rewrite as a fraction;
[tex]\frac{y}{\frac{5}{4}y}[/tex]
Simplify;
[tex]\frac{1}{\frac{4}{5}}\\\\\frac{5}{4}[/tex]
Rewrite as a ratio;
y : x = 5 : 4
