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

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Brent Hanneson – Creator of greenlighttestprep.com

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