Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld? federal tax of $56 Social Security tax that is 6.2% of his gross pay Medicare tax that is 1.45% of his gross pay state tax that is 19% of his federal tax

Chuck has a gross pay of $815.70. His gross pay will be reduced by:Federal tax of $56;Social Security tax that is 6.2% of his gross pay;Medicare tax that is 1.45% of his gross pay;State tax that is 19% of his federal tax.Let's count:1. gross pay of $815.70 - 100%,Social Security tax of $x - 6.2%.Then[tex]\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.[/tex]2. gross pay of $815.70 - 100%,Medicare tax of $y - 1.45%.Then[tex]\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.[/tex]3. Federal tax of $56 - 100%,State tax $z - 19%.Then[tex]\dfrac{56}{z}=\dfrac{100}{19} ,\\ \\56\cdot 19=z\cdot 100,\\ \\z=\dfrac{56\cdot 19}{100} =10.64.[/tex]4. Chuck’s gross pay will be reduced by[tex]\$56+\$50.5734+\$11.82765+\$10.64=\$129.04105\approx \$129.04.[/tex]