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
[tex]\frac{2}{5}\times h=10[/tex]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;
[tex]\begin{gathered} \frac{2}{5}\times h=10 \\ \\ Cross\text{ }multiply: \\ \\ h=\frac{10\times5}{2} \\ \\ h=25 \end{gathered}[/tex]Therefore,
ANSWER:
Barbara has to work for 25 hours in order to spend 10 hours on paper work.