Question

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?

Answer 1

`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.

`:.`

`7.5+6=13.5 " litres of red tint"`

`9 " litres of yellow tint"`

`13.5 " 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%`