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

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

#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%#