Question

Beth spent 1/3 of the time she needed to complete her homework reading a chapter and the remaining 20 minutes writing an essay. How much time did Beth spend doing her homework?A) 20 minutesB) 30 minutesC) 40 minutesD) 60 minutes

Answer 1

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

`x=(1)/(3)x+20`

let's solve the equation and find x

`\begin{gathered} x-(1)/(3)x=20 \\ (3-1)/(3)x=20 \\ (2)/(3)x=20 \\ 2x=3*20 \\ 2x=60 \\ (2x)/(2)=(60)/(2) \\ x=30 \end{gathered}`

Beth spent 30 minutes doing her home work