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?

Question

9406 views around the world

You can reuse this answer
Creative Commons License

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%#