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

SOLUTION

From the question, a person should spend

$\begin{gathered} \frac{1}{3\text{ }}\text{ of salary on rent } \\ \frac{1}{10}\text{ into savings } \\ \frac{1}{3}\text{ in taxes} \end{gathered}$

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

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

Hence the answer is

$\frac{7}{30}$