Katlego mixed a paint hue that is 40% red and 60% yellow. She has 3mL of the mix. What volume, in milliliters, of pure yellow paint should Katlego add to have a hue that is 70% yellow? mL

Calculate Yellow Paint Volume: Determine the current amount of yellow paint in the mix. Since the mix is 60% yellow, we calculate the volume of yellow paint in the current mix. Volume of yellow paint = 60% of 3mL = 0.60 * 3 mL = 1.8 mLCalculate Total Mix Volume: Calculate the total volume of the mix needed to reach 70% yellow. Let x be the volume of pure yellow paint Katlego needs to add. The new volume of yellow paint will be 1.8 mL + x. The total volume of the mix will be 3 mL + x. We want the yellow paint to make up 70% of the total mix. So, we set up the equation: (1.8 mL + x) / (3 mL + x) = 70%Solve for Additional Yellow Paint: Convert the percentage to a decimal and solve for x. (1.8 mL + x) / (3 mL + x) = 0.70 1.8 mL + x = 0.70 * (3 mL + x) 1.8 mL + x = 2.1 mL + 0.70x x - 0.70x = 2.1 mL - 1.8 mL 0.30x = 0.3 mL x = 0.3 mL / 0.30 x = 1 mL

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Katlego mixed a paint hue that is
40% red and
60% yellow. She has
3mL of the mix.
What volume, in milliliters, of pure yellow paint should Katlego add to have a hue that is
70% yellow?

mL

Katlego mixed a paint hue that is $40 \%$ red and $60 \%$ yellow. She has $3 \mathrm{~mL}$ of the mix. $\newline$ What volume, in milliliters, of pure yellow paint should Katlego add to have a hue that is $70 \%$ yellow? $\newline$ $\mathrm{mL}$

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Q. Katlego mixed a paint hue that is

40 \%

red and

60 \%

yellow. She has

3 \mathrm{~mL}

of the mix.

\newline

What volume, in milliliters, of pure yellow paint should Katlego add to have a hue that is

70 \%

yellow?

\newline

\mathrm{mL}

Calculate Yellow Paint Volume: Determine the current amount of yellow paint in the mix. $\newline$ Since the mix is $60\%$ yellow, we calculate the volume of yellow paint in the current mix. $\newline$ Volume of yellow paint = $60\%$ of $3\,\text{mL}$ $\newline$ = $0.60 \times 3\,\text{mL}$ $\newline$ = $1.8\,\text{mL}$
Calculate Total Mix Volume: Calculate the total volume of the mix needed to reach $70\%$ yellow. $\newline$ Let $x$ be the volume of pure yellow paint Katlego needs to add. $\newline$ The new volume of yellow paint will be $1.8\,\text{mL} + x$ . $\newline$ The total volume of the mix will be $3\,\text{mL} + x$ . $\newline$ We want the yellow paint to make up $70\%$ of the total mix. $\newline$ So, we set up the equation: $(1.8\,\text{mL} + x) / (3\,\text{mL} + x) = 70\%$
Solve for Additional Yellow Paint: Convert the percentage to a decimal and solve for $x$ .
$(1.8 \, \text{mL} + x) / (3 \, \text{mL} + x) = 0.70$
$1.8 \, \text{mL} + x = 0.70 \times (3 \, \text{mL} + x)$
$1.8 \, \text{mL} + x = 2.1 \, \text{mL} + 0.70x$
$x - 0.70x = 2.1 \, \text{mL} - 1.8 \, \text{mL}$
$0.30x = 0.3 \, \text{mL}$
$x = 0.3 \, \text{mL} / 0.30$
$x = 1 \, \text{mL}$