hello
beth spent 1/3 of the time needed for her assignment on a chapter and a further 20 minutes writing an essay
let the total time she spent doing her home work be represented by x
total time = reading a chapter + writing an eassy
[tex]x=\frac{1}{3}x+20[/tex]let's solve the equation and find x
[tex]\begin{gathered} x-\frac{1}{3}x=20 \\ \frac{3-1}{3}x=20 \\ \frac{2}{3}x=20 \\ 2x=3\times20 \\ 2x=60 \\ \frac{2x}{2}=\frac{60}{2} \\ x=30 \end{gathered}[/tex]Beth spent 30 minutes doing her home work
