Question

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

Answer 1

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.

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=\frac{\text{Blue Tiles}}{\text{Green Tiles}}`

`Ratio=(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=(5K)/(8K)`

where, K is a natural number.

For example K=12, then

`Ratio=(5(12))/(8(12))=(60)/(96)`

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