Question

A family has an annual income of $30,600 of this, 1/4 is spent for food, 1/5 for housing, 1/10 for clothing, 1/9 for saving, 1/4 for taxes, and the rest for other expenses. How much is spent for taxes?

Answer 1

Step1: Write out the Information given

`\begin{gathered} \text{Total annual income=\$30,600} \\ \text{Fraction spent on food=}(1)/(4) \\ \text{Fraction for housing=}(1)/(5) \\ \text{Fraction on clothing=}(1)/(10) \\ \text{Fraction on saving =}(1)/(9) \\ \text{Fraction on taxes=}(1)/(4) \end{gathered}`

Step 2: Calculate the amount spend on taxes,

we have

`\text{Amount spend for taxes =fraction of taxes}* annual\text{ income}`

Then we have

`\begin{gathered} \text{Amount spend on taxes=}(1)/(4)*30,600 \\ \text{Amount spend on taxes=}(30,600)/(4) \\ \text{Amount spend on taxes=}7650 \end{gathered}`

Therefore

The amount spend on taxes is 7650