Last year Mr. John Q. Public received an inheritance. He paid $20/%$ in federal taxes on the inheritance, and paid $10/%$ of what he had left in state taxes. He paid a total of $/$10{,}500$ for both taxes. How many dollars was the inheritance?

Question

Mathematics

Brenda Matthews

31 May, 17:58

Last year Mr. John Q. Public received an inheritance. He paid $20/%$ in federal taxes on the inheritance, and paid $10/%$ of what he had left in state taxes. He paid a total of $/$10{,}500$ for both taxes. How many dollars was the inheritance?

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Answers (1)

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Jimena Hess · Answer 1

37,500

Step-by-step explanation:

0.2x+0.1 (x-0.2x) = 105000.2x+0.1 (x-0.2x) = 10500

0.3x-150x=105000.3x-150x=10500

15x-x50=1050015x-x50=10500

x=10500∗5014=1500∗25=37500