Up Your Score SAT, 2018-2019 Edition The Underground Guide to Outsmarting The Test

(Tuis.) #1

we have already drawn one black card, that changes our numerator and
denominator.


Finally, we just multiply our two events together, then reduce our fraction to the
lowest whole numbers:


Percentages


Percentages are fraction problems in disguise because percent means per
hundred. So 25% can also be read as ^25 / 100 . So if I ask for “25% of y,” I am


asking for ^25 / 100 or if you’re using a calculator: .25 × y.


We do the same thing for percentages greater than 100%. For instance, 250%
means ^250 / 100 or 2.5.


But there   are more    difficult   percent questions,  such    as:

13  is  20% of  what    number?

Here we can set up an equivalency, like this:


Let’s plug in our numbers. Be careful! Is 13 the part or the whole? If we are
saying that 13 is a percent of another number, it must be the part.


Cross multiply to find that our whole is 65.


Whenever    I   see a   percent,    I   automatically   think   of  the fraction    it  represents. 20% =   just    multiply    13  ×   5   and—    voilà—65.^20 / 100  =   ^1 / 5 .    So, to  solve   13  is  ^1 / 5  of  what    number, you
—Samantha

PERCENT INCREASE AND DECREASE

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