Question

Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes 4/5 of an hour to the 1/2 of the tank. At this rate, how many holding tanks will she fill in one hour?a. 5/8 of a tankb. 3/5 of a tankc. 1 5/8 of a tankd. 2/5 of a tank

Answer 1

we can use Cross-multiplication

`\begin{gathered} (4)/(5)\longrightarrow(1)/(2) \\ 1\longrightarrow x \end{gathered}`

the left column is the hour and right tank level

we can find x

`x=(1*(1)/(2))/((4)/(5))`
`\begin{gathered} x=((1)/(2))/((4)/(5)) \\ x=(5)/(8) \end{gathered}`

so in one hour she fills 5/8 of the tank