Answer:
5K:8K is equivalent ratio of blue tiles to green tiles. where, K is a natural number.
For example : 60:96 is equivalent ratio of blue tiles to green tiles.
Step-by-step explanation:
It is given that every 5 tiles is painted blue he painted 8 tiles green.
The ratio of blue tiles to green tiles is


If two ratios express the same relationship between numbers, then they are known as equivalent ratios.
If the numerator and denominator of a ratio is multiplying or dividing by the same number, then the resulting ratio is equivalent to the given ratio.
Equivalent ratio of blue tiles to green tiles is

where, K is a natural number.
For example K=12, then

Therefore, 60:96 is equivalent ratio of blue tiles to green tiles.