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
[tex]Ratio=\dfrac{\text{Blue Tiles}}{\text{Green Tiles}}[/tex]
[tex]Ratio=\dfrac{5}{8}[/tex]
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
[tex]Ratio=\dfrac{5K}{8K}[/tex]
where, K is a natural number.
For example K=12, then
[tex]Ratio=\dfrac{5(12)}{8(12)}=\dfrac{60}{96}[/tex]
Therefore, 60:96 is equivalent ratio of blue tiles to green tiles.
