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Charlotte use 6.3 pints of blue paint and white paint to paint her bedroom walls 3/5 of this amount is blue paints and the rest is white paint how many pints of white paint did she use to paint her bedroom walls? express your answer in fraction and decimal form solve on paper then check your work.

Answer :

Data:

Blue pain: B

White paint: W

Charlotte use 6.3pints:

[tex]B+W=6.3[/tex]

3/5 of the total amount is blue paints:

6.3 as a fraction is:

[tex]6.3=\frac{63}{10}[/tex]

[tex]\begin{gathered} B=\frac{63}{10}\cdot\frac{3}{5} \\ \\ B=\frac{63\cdot3}{10\cdot5}=\frac{189}{50} \\ \\ B=3.78 \end{gathered}[/tex]

As the amount of blue paints is 189/50 (3.78) Substract this amount from the total to find the pints of white paints:

In decimals:

[tex]\begin{gathered} W=6.3-B \\ W=6.3-3.78 \\ W=2.52 \end{gathered}[/tex]

In fractions:

[tex]\begin{gathered} W=\frac{63}{10}-\frac{189}{50} \\ \\ W=\frac{63\cdot50-10\cdot189}{10\cdot50}=\frac{3150-1890}{500} \\ \\ W=\frac{1260}{500}=\frac{126}{50} \end{gathered}[/tex]Then, the amounts are:Blue paints: 189/50 or 3.78White paints: 126/50 or 2.52

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