Alice earns d dollars and has t percent of what she earns deducted for

Question

Alice earns d dollars and has t percent of what she earns deducted for taxes. How much of what she earns does Alice have left after taxes?

A) d(1−100t) dollars
B) d(1−10t) dollars
C) d(1−t) dollars
D) d(1−0.1t) dollars
E) d(1−0.01t) dollars

rafher · Answer

IMO C

If you replace the letters by actual numbers:

d=10
t=50/100 = 1/2

10*1/2= 5

So after the taxes, she will have 5 dollars left.

Then, you can look at the answer choices and replace with the same numbers you chose.

With option C, you will find 5 dollars.

aserghe1 · Answer

money earned: d
taxes payed:  \frac{t}{100}*d

money after tax: d-d*0.01t = d(1-0.01t)

Answer: E

21savage21 · Answer

Going with E. Did the same as above:

money after tax: d-d*0.01t = d(1-0.01t)

generis · Answer

This problem is good for picking numbers (only two variables, math is straightforward).

Let  d  dollars = 10
Let  t  percent = 10

Alice earns $10. Tax rate is 10 percent
She pays   ($10*0.10) = $1   in taxes
She has   $9   left

Using   d = 10, t = 10   (not 10% nor .10), find the answer that yields  9 .

Start with C)   d(1-t):  
 (10)(1-10) = (10)(-9)  - REJECT. Negative number

The difference between 1 and  t  is MUCH too high. We need  t  to be made tiny.

Eliminate A and B (which make  t  greater). Try E.

Answer E)   d(1−0.01t)   dollars
 
 (10)*(1-(0.01*10)) = (10)*(1-0.1)=(10*.9)= 9

That's a match

Answer E

Hero8888 · Answer

Hi,
You substituted t with t/100. Your option is incorrect. Try one more time and you will get (E).

JeffTargetTestPrep · Answer

After taxes, Alice has d(1 - t/100) = d(1 - 0.01t) dollars left.

Answer: E

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