Question

I need helpBarbara works at a law office as an entry level lawyer. She spends 2/5 of her time at the law office doing paper work. How many hours does she have to work to spend 10 hours doing paper work.

Answer 1

GIVEN:

We are told that Barbara works 2/5 of her time doing paper work and this fraction represents 10 hours of her total working time.

Required;

To determine how many hours she will have to work in order to have 10 hours doing paper work.

Step-by-step solution.

Take note that her entire working hours is represented by 1 whole since, a fraction of it has already been identified as two-fifths.

This means

`(2)/(5)* h=10`

Take note that the fraction is taken as two-fifths of the total hours h and, if multiplied by the total hours, we would get 10 hours.

Hence, if we simplify the above equation, we would get the value of h as follows;

`\begin{gathered} (2)/(5)* h=10 \\ \\ Cross\text{ }multiply: \\ \\ h=(10*5)/(2) \\ \\ h=25 \end{gathered}`

Therefore,

ANSWER:

Barbara has to work for 25 hours in order to spend 10 hours on paper work.