SOLUTION: The ratio of a mans federal income tax to state income tax is 11 to 5. If the man pays a total income tax 30,000, how much was paid to the federal government and how much was paid

Algebra.Com
Question 29947: The ratio of a mans federal income tax to state income tax is 11 to 5. If the man pays a total income tax 30,000, how much was paid to the federal government and how much was paid to the state? Can you show all of the work. Thanks for your help
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Let "x" be the amount of state tax; then 30,000-x is the amount of fed. tax.
11/5 = (30000-x)/x
11x=150000-5x
16x=150000
x=$9375 (amount of state tax)
30000-x=$20625 (amount of fed. tax)
Cheers,
stan H.

RELATED QUESTIONS

When calculating his income tax an accountant realized that his federal tax was 30% of... (answered by Theo)
When calculating his income tax an accountant realized that his federal tax was 25% of... (answered by ikleyn)
hen calculating his income tax an accountant realized that his federal tax was 40% of his (answered by ikleyn)
Amount of taxes payed on $125000 is federal 50% and state 30%. The federal tax is... (answered by Adrish)
When calculating his income tax an accountant realized that his federal tax was 40% of... (answered by ikleyn)
When calculating his income tax an accountant realized that his federal tax was 25% of... (answered by Theo)
(2) Owen and Sarah's pre-tax income is $100,000. Suppose that state income tax is 10% of... (answered by Theo)
The Canada in 2019 had five federal income tax brackets, with rates of 15%, 20.5%, 26%,... (answered by Theo)
Marissa recently started working part time for a store that pays her $10.80 per hour. She (answered by Boreal)