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	<title>Comments on: The Price of Loving A Sexy Maths Tutor</title>
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	<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor</link>
	<description>Sassy O Level Maths Tuition, Questions &#38; Tips from Singapore&#039;s Favourite Private Tutor</description>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-24415</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Mon, 20 Apr 2009 06:52:59 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-24415</guid>
		<description>&lt;b&gt;mathslover:&lt;/b&gt; What you&#039;ve just hypothesised is &quot;&lt;i&gt;not in syllabus. No need to know! Wait u confused!!!&lt;/i&gt;&quot;</description>
		<content:encoded><![CDATA[<p><b>mathslover:</b> What you've just hypothesised is "<i>not in syllabus. No need to know! Wait u confused!!!</i>"</p>
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		<title>By: mathslover</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-24037</link>
		<dc:creator>mathslover</dc:creator>
		<pubDate>Wed, 08 Apr 2009 17:06:19 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-24037</guid>
		<description>&#039;... a fresh inexperienced but sexy maths tutor ...&#039;

&#039;...as the sexy tutor pulled her black car into the parking lot downstairs...&#039;

&#039;...regular joss sticks sessions for the past 18 years...&#039;

Given that the legal age for driving in SG is 18 years old, and assuming this is Miss Loi&#039;s first tuition assignment (&#039;inexperienced&#039;), and that as of this year she has 18 years of experience... 

We can deduce that Miss Loi is at least 36 years old. 

LOL! :)</description>
		<content:encoded><![CDATA[<p>'... a fresh inexperienced but sexy maths tutor ...'</p>
<p>'...as the sexy tutor pulled her black car into the parking lot downstairs...'</p>
<p>'...regular joss sticks sessions for the past 18 years...'</p>
<p>Given that the legal age for driving in SG is 18 years old, and assuming this is Miss Loi's first tuition assignment ('inexperienced'), and that as of this year she has 18 years of experience... </p>
<p>We can deduce that Miss Loi is at least 36 years old. </p>
<p>LOL! <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_smile.gif' alt=':)' class='wp-smiley' /> </p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-8669</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Tue, 20 May 2008 11:44:34 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-8669</guid>
		<description>&lt;b&gt;Anony:&lt;/b&gt; Just take it that Miss Loi has been watching too many Stephen Chow movies haha.</description>
		<content:encoded><![CDATA[<p><b>Anony:</b> Just take it that Miss Loi has been watching too many Stephen Chow movies haha.</p>
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		<title>By: anony</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-8643</link>
		<dc:creator>anony</dc:creator>
		<pubDate>Mon, 19 May 2008 14:39:43 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-8643</guid>
		<description>haha. so is that a true story from your life or simply a made up one?
what prompted you to post this anyway?</description>
		<content:encoded><![CDATA[<p>haha. so is that a true story from your life or simply a made up one?<br />
what prompted you to post this anyway?</p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-4007</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Tue, 19 Feb 2008 02:20:31 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-4007</guid>
		<description>FYI, Miss Loi&#039;s car has no handbrake!</description>
		<content:encoded><![CDATA[<p>FYI, Miss Loi's car has no handbrake!</p>
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		<title>By: FoxTwo</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-3754</link>
		<dc:creator>FoxTwo</dc:creator>
		<pubDate>Sun, 17 Feb 2008 04:42:04 +0000</pubDate>
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		<description>It&#039;s just a simple handbrake parking... just go in screaming (I meant the speed of the car but if you want to accompany it with real screaming, go ahead), yank the handbrake, turn the wheel. You should be able to park just like in the video :)</description>
		<content:encoded><![CDATA[<p>It's just a simple handbrake parking... just go in screaming (I meant the speed of the car but if you want to accompany it with real screaming, go ahead), yank the handbrake, turn the wheel. You should be able to park just like in the video <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_smile.gif' alt=':)' class='wp-smiley' /> </p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-3737</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Sun, 17 Feb 2008 03:04:36 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-3737</guid>
		<description>FoxTwo, wow Miss Loi will save a lot of time for parking if she can drift like that!</description>
		<content:encoded><![CDATA[<p>FoxTwo, wow Miss Loi will save a lot of time for parking if she can drift like that!</p>
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		<title>By: Miss Loi</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-3734</link>
		<dc:creator>Miss Loi</dc:creator>
		<pubDate>Sun, 17 Feb 2008 02:57:55 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-3734</guid>
		<description>Yes Kiroii, you&#039;re right! 

Similar to the &lt;a href=&quot;/questions/e-maths/which-ice-cream-cone-should-she-choose&quot;  rel=&quot;nofollow&quot;&gt;earlier ice-cream cones question&lt;/a&gt;, it is vitally important for students to stay awake and open their eyes to see what &lt;em&gt;dimensions&lt;/em&gt; are the stated ratios pertaining to.

To re-cap:

Let &lt;var&gt;l&lt;sub&gt;x&lt;/sub&gt;&lt;/var&gt; and &lt;var&gt;l&lt;sub&gt;y&lt;/sub&gt;&lt;/var&gt; be the heights of the small and big diamond respectively. Note that &lt;var&gt;l&lt;/var&gt; can also refer to length or width or any one-dimensional unit.

For Area: &lt;m&gt;A_x/A_y = (l_x/l_y)^2&lt;/m&gt;

Since the question states that 9:49 refers to the ratio of the &lt;em&gt;area&lt;/em&gt;,

&lt;m&gt;9/49 = (l_x/l_y)^2&lt;/m&gt;
&lt;m&gt;l_x/l_y = sqrt{9/49} = 3/7&lt;/m&gt;

And as already mentioned, in the strange world of Similarities, the price &lt;em&gt;IS&lt;/em&gt; the volume (not sure about this in the real world though :P)

So for volume: &lt;m&gt;V_x/V_y = (l_x/l_y)^3&lt;/m&gt;

From above you already have &lt;m&gt;l_x/l_y = 3/7&lt;/m&gt;
So &lt;m&gt;V_x/V_y = (3/7)^3&lt;/m&gt;

Now &lt;i&gt;Ah Beng&lt;/i&gt;&#039;s small diamond (&lt;var&gt;V&lt;sub&gt;x&lt;/sub&gt;&lt;/var&gt;) costs $1000, which means &lt;del&gt;Miss Loi&#039;s&lt;/del&gt; the tutor&#039;s humongous diamond (&lt;var&gt;V&lt;sub&gt;y&lt;/sub&gt;&lt;/var&gt;) costs:

&lt;m&gt;V_y = 1000/{(3/7)^3}&lt;/m&gt;
= $12704 (correct to the nearest dollar)!!!

Scary isn&#039;t it? But then that&#039;s only what the &lt;i&gt;Ah Beng&lt;/i&gt; calculated with his new-found math skills ... once again things are always a bit different in the real world - Miss Loi&#039;s may be too &#039;calculative&#039; to wear that ... but on the other hand, if it&#039;s free ... *drools*</description>
		<content:encoded><![CDATA[<p>Yes Kiroii, you're right! </p>
<p>Similar to the <a href="/questions/e-maths/which-ice-cream-cone-should-she-choose"  rel="nofollow">earlier ice-cream cones question</a>, it is vitally important for students to stay awake and open their eyes to see what <em>dimensions</em> are the stated ratios pertaining to.</p>
<p>To re-cap:</p>
<p>Let <var>l<sub>x</sub></var> and <var>l<sub>y</sub></var> be the heights of the small and big diamond respectively. Note that <var>l</var> can also refer to length or width or any one-dimensional unit.</p>
<p>For Area: <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_970.5_75331b5e3014c6445f531fba78101a46.png" style="vertical-align:-29.5px; display: inline-block ;" alt="A_x/A_y = (l_x/l_y)^2" title="A_x/A_y = (l_x/l_y)^2"/></p>
<p>Since the question states that 9:49 refers to the ratio of the <em>area</em>,</p>
<p><img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_970.5_70732f9a97e7c5c8a5d6bc59438899b4.png" style="vertical-align:-29.5px; display: inline-block ;" alt="9/49 = (l_x/l_y)^2" title="9/49 = (l_x/l_y)^2"/><br />
<img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_979_c62e90d3a3582b3ec29671c6075472fe.png" style="vertical-align:-21px; display: inline-block ;" alt="l_x/l_y = sqrt{9/49} = 3/7" title="l_x/l_y = sqrt{9/49} = 3/7"/></p>
<p>And as already mentioned, in the strange world of Similarities, the price <em>IS</em> the volume (not sure about this in the real world though <img src='http://www.exampaper.com.sg/blog/wp-includes/images/smilies/icon_razz.gif' alt=':P' class='wp-smiley' /> )</p>
<p>So for volume: <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_970.5_ad1e0b1def6d3c0df3568d6111042d52.png" style="vertical-align:-29.5px; display: inline-block ;" alt="V_x/V_y = (l_x/l_y)^3" title="V_x/V_y = (l_x/l_y)^3"/></p>
<p>From above you already have <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_979_19bfece8972da62339c693cf275dff36.png" style="vertical-align:-21px; display: inline-block ;" alt="l_x/l_y = 3/7" title="l_x/l_y = 3/7"/><br />
So <img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_970.5_b284beb5f8be9acc66ed94e8a787ff9a.png" style="vertical-align:-29.5px; display: inline-block ;" alt="V_x/V_y = (3/7)^3" title="V_x/V_y = (3/7)^3"/></p>
<p>Now <i>Ah Beng</i>'s small diamond (<var>V<sub>x</sub></var>) costs $1000, which means <del>Miss Loi's</del> the tutor's humongous diamond (<var>V<sub>y</sub></var>) costs:</p>
<p><img src="http://www.exampaper.com.sg/wp-content/plugins/wpmathpub/phpmathpublisher/img/math_930_cb621efa0bc6505bb5ec7f97cc86ee9a.png" style="vertical-align:-70px; display: inline-block ;" alt="V_y = 1000/{(3/7)^3}" title="V_y = 1000/{(3/7)^3}"/><br />
= $12704 (correct to the nearest dollar)!!!</p>
<p>Scary isn't it? But then that's only what the <i>Ah Beng</i> calculated with his new-found math skills ... once again things are always a bit different in the real world - Miss Loi's may be too 'calculative' to wear that ... but on the other hand, if it's free ... *drools*</p>
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		<title>By: FoxTwo</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-3614</link>
		<dc:creator>FoxTwo</dc:creator>
		<pubDate>Sat, 16 Feb 2008 09:35:23 +0000</pubDate>
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		<description>Ok smc, it&#039;s done.

&lt;a href=&quot;http://tinyurl.com/2fnjr5&quot; rel=&quot;nofollow&quot;&gt;The movie premiere of this blog entry&lt;/a&gt;

Disclaimer - since movies can&#039;t end in maths problems, be advised some artistic license was taken to provide an ending.</description>
		<content:encoded><![CDATA[<p>Ok smc, it's done.</p>
<p><a href="http://tinyurl.com/2fnjr5" rel="nofollow">The movie premiere of this blog entry</a></p>
<p>Disclaimer - since movies can't end in maths problems, be advised some artistic license was taken to provide an ending.</p>
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		<title>By: Kiroiitsuki</title>
		<link>http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-3612</link>
		<dc:creator>Kiroiitsuki</dc:creator>
		<pubDate>Sat, 16 Feb 2008 09:02:03 +0000</pubDate>
		<guid isPermaLink="false">http://www.exampaper.com.sg/questions/e-maths/the-price-of-loving-a-sexy-maths-tutor#comment-3612</guid>
		<description>1) ratio of the diamonds is 3:7

2) eh tis question is a tad queer? volume ratio is 27/343 thus 343/27 x 1000 = 12703.7 thats kinda weird-.-&quot; i DOUBT miss loi would wear a piece of metal with a rock tt cost that much &gt;.&gt;</description>
		<content:encoded><![CDATA[<p>1) ratio of the diamonds is 3:7</p>
<p>2) eh tis question is a tad queer? volume ratio is 27/343 thus 343/27 x 1000 = 12703.7 thats kinda weird-.-" i DOUBT miss loi would wear a piece of metal with a rock tt cost that much &gt;.&gt;</p>
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