Answer:
[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex].
Step-by-step explanation:
Given : [tex]\frac{x}{5} =\frac{2}{3} = \frac{5}{y}[/tex].
To find : find the ratio of x to y.
Solution : We have given
[tex]\frac{x}{5} =\frac{2}{3} = \frac{5}{y}[/tex].
On taking
[tex]\frac{x}{5} =\frac{2}{3}[/tex].
On cross multiplication
3x = 5 *2
3x = 10
x = [tex]\frac{10}{3}[/tex].
Now, taking [tex]\frac{2}{3} = \frac{5}{y}[/tex].
On cross multiplication
2y = 15 .
y = [tex]\frac{15}{2}[/tex].
Then ,
[tex]\frac{x}{y}[/tex] = [tex]\frac{\frac{10}{3}}{\frac{15}{2}}[/tex].
[tex]\frac{x}{y}[/tex] = [tex]\frac{20}{45}[/tex].
On simplification
[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex].
Therefore, [tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex].
