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%)#

#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%#
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Answer 2

After adding 6 liters of red tint to the original mixture, the total volume of the mixture becomes 30 + 6 = 36 liters. The new mixture still contains the same amount of red tint from the original mixture, which is 25% of 30 liters = (25/100) * 30 = 7.5 liters. Additionally, 6 liters of red tint are added, resulting in a total of 7.5 + 6 = 13.5 liters of red tint in the new mixture. To find the percentage of red tint in the new mixture, divide the amount of red tint (13.5 liters) by the total volume of the mixture (36 liters) and multiply by 100. Percentage of red tint = (13.5/36) * 100 = 37.5% Therefore, the percent of red tint in the new mixture is 37.5%.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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