Given:
The total number of hours in a week is, N = 112.
The actual percentage spent on themselves is, s(a) = 20%.
The actual percentage spent on Family and friends is, f(a) = 43%.
The actual percentage spent on Job/Career is, j(a) = 37%.
The prefered percentage spent on themselves is, s(p)= 23%.
The prefered percentage spent on Family and friends is, f(p) = 47%.
The prefered percentage spent on Job/Career is, j(p) = 30%.
Explanation:
a)
The actual number of hours per week spend on themselves can be calculated as,
[tex]\begin{gathered} S(a)=\frac{s(a)}{100}\times N \\ =\frac{20}{100}\times112 \\ =22.4\text{ hr/week} \end{gathered}[/tex]b)
The preferred number of hours per week spend on family and friends can be calculated as,
[tex]\begin{gathered} F(p)=\frac{f(p)}{100}\times N \\ =\frac{47}{100}\times112 \\ =52.6\text{ hr/week} \end{gathered}[/tex]c)
The difference between preferred number of hours on job/career and actual number of hours on job/career can be calculated as,
[tex]\begin{gathered} D=J(a)-J(p) \\ =\frac{j(a)}{100}\times N-\frac{j(p)}{100}\times N \\ =\frac{37}{100}\times112-\frac{30}{100}\times12 \\ =\frac{7}{100}\times112 \\ =7.8\text{ hr/week} \end{gathered}[/tex]Hence,
a) The actual number of hours per week spend on themselves is 22.4 hr/week.
b) The preferred number of hours per week spend on family and friends is 52.6 hr/week.
c) The difference between preferred number of hours on job/career and actual number of hours on job/career is 7.8 hr/week.