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Shania earns $\$38996$ per annum as a cocktail attendant and $\$7560$ as a part-time singer. She has tax deductions of $\$3561$ and, throughout the year, pays a total of $\$6963.30$ in tax installments. Will she get a tax refund or have more tax payable at the end of the year?

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Linear Inequality Word Problems

Full solution

Q. Shania earns

\$38996

per annum as a cocktail attendant and

\$7560

as a part-time singer. She has tax deductions of

\$3561

and, throughout the year, pays a total of

\$6963.30

in tax installments. Will she get a tax refund or have more tax payable at the end of the year?

Calculate Total Income: Calculate Shania's total annual income. $\newline$ Shania earns $\$38996$ per annum as a cocktail attendant and $\$7560$ as a part-time singer. To find her total annual income, we add these two amounts together. $\newline$ Total annual income = $\$38996 + \$7560$ $\newline$ Total annual income = $\$46556$
Calculate Total Tax: Calculate the total tax Shania should pay before deductions. $\newline$ Shania has tax deductions of $\$3561$ . To find out the tax she should pay before deductions, we subtract the tax deductions from the total tax installments she has paid throughout the year. $\newline$ Tax before deductions = Total tax installments - Tax deductions $\newline$ Tax before deductions = $\$6963.30$ - $\$3561$ $\newline$ Tax before deductions = $\$3402.30$
Determine Tax Refund: Determine if Shania will get a tax refund or owe more tax. If the tax before deductions (calculated in Step $2$ ) is less than the total tax installments she has paid, then she will get a refund. If it is more, she will owe more tax. Since the tax before deductions ( $3402.30) is less than the total tax installments paid ($ $6963$ . $30$ ), Shania will get a tax refund.

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