The three companies A, B, and C sold cars and bikes. The ratio of cars sold by A, B, and C is 4:5:6, respectively. The ratio of bikes sold by A, B, an...

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The three companies A, B, and C sold cars and bikes. The ratio of cars sold by A, B, and C is 4:5:6, respectively. The ratio of bikes sold by A, B, and C is 3:2:5, respectively. The difference between the number of cars and bikes sold by B is 18, and the ratio of cars sold by B to bikes sold by C is 8:11.

If <divclass="katexdisplay"><spanclass="katexdisplay"><spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"display="block"><semantics><mrow><mfrac><mn>5</mn><mn>8</mn></mfrac></mrow><annotationencoding="application/xtex">58</annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:2.0074em;verticalalign:0.686em;"></span><spanclass="mord"><spanclass="mopennulldelimiter"></span><spanclass="mfrac"><spanclass="vlisttvlistt2"><spanclass="vlistr"><spanclass="vlist"style="height:1.3214em;"><spanstyle="top:2.314em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="mord"><spanclass="mord">8</span></span></span><spanstyle="top:3.23em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="fracline"style="borderbottomwidth:0.04em;"></span></span><spanstyle="top:3.677em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="mord"><spanclass="mord">5</span></span></span></span><spanclass="vlists"></span></span><spanclass="vlistr"><spanclass="vlist"style="height:0.686em;"><span></span></span></span></span></span><spanclass="mclosenulldelimiter"></span></span></span></span></span></span></div><div class="katex-display"><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mfrac><mn>5</mn><mn>8</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{5}{8}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.0074em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3214em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">8</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">5</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></div> of the cars sold by A and <divclass="katexdisplay"><spanclass="katexdisplay"><spanclass="katex"><spanclass="katexmathml"><mathxmlns="http://www.w3.org/1998/Math/MathML"display="block"><semantics><mrow><mfrac><mn>7</mn><mn>12</mn></mfrac></mrow><annotationencoding="application/xtex">712</annotation></semantics></math></span><spanclass="katexhtml"ariahidden="true"><spanclass="base"><spanclass="strut"style="height:2.0074em;verticalalign:0.686em;"></span><spanclass="mord"><spanclass="mopennulldelimiter"></span><spanclass="mfrac"><spanclass="vlisttvlistt2"><spanclass="vlistr"><spanclass="vlist"style="height:1.3214em;"><spanstyle="top:2.314em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="mord"><spanclass="mord">12</span></span></span><spanstyle="top:3.23em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="fracline"style="borderbottomwidth:0.04em;"></span></span><spanstyle="top:3.677em;"><spanclass="pstrut"style="height:3em;"></span><spanclass="mord"><spanclass="mord">7</span></span></span></span><spanclass="vlists"></span></span><spanclass="vlistr"><spanclass="vlist"style="height:0.686em;"><span></span></span></span></span></span><spanclass="mclosenulldelimiter"></span></span></span></span></span></span></div><div class="katex-display"><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mfrac><mn>7</mn><mn>12</mn></mfrac></mrow><annotation encoding="application/x-tex">\frac{7}{12}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.0074em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3214em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">12</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">7</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></div> of the cars sold by C are diesel, and the rest are petrol, find the difference between the number of petrol cars sold by A and C.

Options

A.

4

B.

10

C.

8

D.

6

E.

12

ratioproportioncars and bikesdiesel and petroldifference

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