sandy wrote:
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
t percent = t/100
So, t percent of d dollars =
(t/100)(d)In other words,
(t/100)(d) is DEDUCTED from Alice's pay (of d dollars)
So, the amount remaining = d -
(t/100)(d) Check the answer choices.....not there! Looks like we need to rewrite our answer to match one of the answer choice.
So, take: d - (t/100)(d)
Factor out the d to get: d(1 - t/100) ....still not among the answer choices!
Notice that t/100 = (t)(1/100)
= (t)(0.01)
0.01t
So, take: d(1 - t/100) and rewrite as d(1 - 0.01t)
Answer: E
Cheers,
Brent
_________________
Brent Hanneson - founder of Greenlight Test Prep