Question

In making a budget, a person should spend about one-third of his or her salary onrent or housing, should put about one-tenth into a savings account, and shouldplan to have about one-third taken out in taxes. What fraction of a person’s salaryis then left for everything else?

Answer 1

From the question, a person should spend

`\begin{gathered} \frac{1}{3\text{ }}\text{ of salary on rent } \\ (1)/(10)\text{ into savings } \\ (1)/(3)\text{ in taxes} \end{gathered}`

Fraction left after everything would be 1, minus the all the fractions. we have

`\begin{gathered} 1-((1)/(3)+(1)/(10)+(1)/(3)) \\ 1-((10+3+10)/(30)) \\ 1-(23)/(30) \\ =(30-23)/(30) \\ =(7)/(30) \end{gathered}`

Hence the answer is

`(7)/(30)`