The federal tax was $500 more than the state tax. if the sum of the taxes was $6900, what was the amount of federal tax?

Question

Mathematics

Albert Branch

19 January, 23:27

The federal tax was $500 more than the state tax. if the sum of the taxes was $6900, what was the amount of federal tax?

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Norah Herring · Answer 1

So Federal Tax (F) is $500 more than the State Tax (S).

This would give us the equation F = S + 500.

If F + S = 6900, we now have two equations and can substitute.

Because F = S + 500, we can substitute S + 500 for F in the second equation.

This gives us (S+500) + S = 6900.

This simplifies to S+S=6900-500 or 2S = 6400.

This would make S = 3200.

Plugging 3200 in for S in the second equation yields F = 3700.

So $3,700 is the Federal Tax.