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?

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Answer 1 · 2018-06-11T20:55:29

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

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

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

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

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:

$13.5/36xx100%=37.5%$