<p><a href="http://i56.tinypic.com/jaca2o.png%5B/url%5D">http://i56.tinypic.com/jaca2o.png</a></p>
<p>This one gave me a tough time. Is there a way to approach it without using guess and check?</p>
<p>Well, guess and check shouldn’t take too long. It’s basically asking which of the five numbers can be plugged into the hundredths digit and create a decimal that can be expressed as #/##. Your 5 decimals would be:</p>
<p>.32
.33
.37
.38
.39</p>
<p>Take your calculator and just put in .32>Frac and put in each number until you get a fraction with a one-digit number over a two-digit number. Or, figure out what each decimal would be in fraction form and reduce (though I’d prefer to use my calculator).</p>
<p>Screw the instruction for P and t for now. Think like this for all the answer problems:
32/100
33/100
37/100
38/100
39/100
Now, take those values and simplify until you match the P and t values:
32/100-> 16/50 -> 8/25 -> fits P is one digit and t is two digits for P/t
33/100-> obviously wrong
37/100-> obviously wrong
38/100-> 19/50 -> does not fit P is one digit
39/100-> obviously wrong
The answer is 2 or A</p>
<p>Thanks for the help. Both of those strategies are great :)</p>