Lesson 1: Income - Getting Into It Task Answers

   Getting Into It

Compare your answers

  1. \[\begin{align} 12x&=156 \\ \\ \frac{12x}{\color{red}{12}}&=\frac{156}{\color{red}{12}} \\ \\ \frac{{\cancel{12}}x}{\cancel{12}}&=13 \\ \\ x&=13 \\ \end{align}\]

    Check:
    Left Side Right Side
    12x
    12(13)
    156    		 156
    LS = RS

  2. \[\begin{align} 147&=21n \\ \\ \frac{147}{\color{red}{21}}&=\frac{21n}{\color{red}{21}} \\ \\ 7&=\frac{{\cancel{21}}n}{\cancel{21}} \\ \\ 7&=n \\ \end{align}\]

    Check:
    Left Side Right Side
    147 21n
    21(7)
    147
    LS = RS

  3. \[\begin{align} \frac{r}{8}&=\frac{19}{5} \\ \\ \frac{r}{8}\times \color{red}{8}&=\frac{19}{5}\times \color{red}{8} \\ \\ \frac{r}{\cancel{8}}\times \cancel{8}&=\frac{19}{5}\times 8 \\ \\ r&=\frac{19}{5}×8 \\ \\ r&=\frac{152}{5} \\ \\ r&=30.4 \\ \end{align}\]

    Check:
    Left Side Right Side
    \(\frac{r}{8}\)

    \(\frac{\color{red}{30.4}}{8}\)

    3.8    		 \(\frac{19}{5}\)

    3.8
    LS = RS

  4. \[\begin{align} \frac{5}{6}&=\frac{81}{p} \\ \\ \frac{5}{6}\times {\color{red}{p}}&=\frac{81}{\cancel{p}}\times {\color{red}{\cancel{p}}} \\ \\ \frac{5}{6}p&=81 \\ \\ \frac{5}{6}p\div {\color{red}{\frac{5}{6}}}&=81\div {\color{red}{\frac{5}{6}}} \\ \\ \cancel{\frac{5}{6}}p\div \cancel{\frac{5}{6}}&=81\div \frac{5}{6} \\ \\ p&=81\times \color{red}{\frac{6}{5}} \\ \\ p&=\frac{486}{5} \\ \\ p&=97.2 \\ \end{align}\]

    Check:
    Left Side Right Side
    \(\frac{5}{6}\)

    \(0.8\overline{3}\)    		 \(\frac{81}{p}\)

    \(\frac{81}{\color{red}{97.2}}\)

    \(0.8\overline{3}\)
    LS = RS


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