Question

Every 5 tiles is painted blue he painted 8 tiles green equivalent ratio of blue tiles to green tiles

Answer 1

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

$Ratio=\dfrac{\text{Blue Tiles}}{\text{Green Tiles}}$

$Ratio=\dfrac{5}{8}$

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

$Ratio=\dfrac{5K}{8K}$

where, K is a natural number.

For example K=12, then

$Ratio=\dfrac{5(12)}{8(12)}=\dfrac{60}{96}$

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