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a. Deborah spends 1/5 of her consulting time writing grant proposals. If she spends 48 hours per monthwriting grant proposals, how much time does she spend on consulting work?

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Answer:

240 hours

Step-by-step explanation:

Deborah spends 1/5 of her consulting time writing grant proposals.

Hours per month spent writing grant proposals = 48 hours

Let her total consulting time = x

It means that:


(1)/(5)\text{ of x}=48

We then solve for x.


\begin{gathered} (x)/(5)=48 \\ \text{cross multiply} \\ x=48*5 \\ x=240\text{ hours} \end{gathered}

We conclude that Deborah spends 240 hours per month on consulting work.

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