# A mixture of 30 liters of paint is 25% red tint, 30% yellow tint and 45% water. Six liters of red tint are added to the original mixture. What is the percent of red tint in the new mixture?

Jun 11, 2018

color(blue)("Percentage of red tint"=37.5%)

#### Explanation:

25% "of " 30 " litres" =7.5 " litres" " red"

30% "of " 30 " litres" =9 " litres"" yellow"

45% "of " 30 " litres" =13.5 " litres" " water"

6 litres of red tint is added.

This gives a total volume of 36 litres.

$\therefore$

$7.5 + 6 = 13.5 \text{ litres of red tint}$

$9 \text{ litres of yellow tint}$

$13.5 \text{ litres of water}$

Percentage of red tint:

13.5/36xx100%=37.5%

Remember that the percentages of yellow and the water will change as well. i.e.

Percentage of yellow:

9/36xx100%=25%

Percentage of water:

13.5/36xx100%=37.5%