Ellen, a resident of Metropolis, pays Metropolis an annual tax of $50 plus 1.6% of her annual
income. If Ellen paid $1,298 in tax, what was Ellen’s income?

Question

Ellen, a resident of Metropolis, pays Metropolis an annual tax of $50 plus 1.6% of her annual
income. If Ellen paid $1,298 in tax, what was Ellen’s income?

anonymous · Answer

50 + 1.6/100 of x =1298
can u find x from here

mathstudent55 · Answer

First subtract $50 from the tax she paid.
Then the remaining amount is 1.6% of her salary. Call it T for tax.
If T is 1.6% of S, the salary, then
0.016T = S
Plug in T and calculate S.

anonymous · Answer

um email me im confused spareb665@yahoo.com

mathstudent55 · Answer

Can you start with $1298 and subtract $50 from that? What do you get?

anonymous · Answer

1248?

mathstudent55 · Answer

Right.
Now $1248 is 1.6% of her salary, right?

anonymous · Answer

he will get 0.016t=1248 for t?

mathstudent55 · Answer

The question now is:
$1248 is 1.6% of what number?
Translated into math this is:
1248 = 1.6% * x
In math, "of" usually means multiplication; is means =, percen means 1/100.
1248 = (1.6/100)x
or
0.016x = 1248
Divide both sides by 0.016 to get x, her salary.

anonymous · Answer

78000? coprect?

mathstudent55 · Answer

Correct. Good job!