6199
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2011-02-01T00:00:01
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<p>Quince, quonce, and quance are three types of fruit. Seven quince weigh the same as four quonce, and five quonce weigh the same as six quance.<br></br>
<mdo:image alt="quince and quonce" height="100" src="icon.jpg" width="100"></mdo:image><mdo:image alt="quonce and quance" height="100" src="icon2.jpg" width="100"></mdo:image><br></br>
Put the fruit into order of weight, heaviest last.<br></br>
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<a href="http://nrich.maths.org/public/viewer.php?obj_id=6813&part=">Click here for a poster of this problem</a>.</p>
<p> </p>
<p>If you liked this problem, <a href="http://nrich.maths.org/public/viewer.php?obj_id=1026">here is an NRICH task</a> which challenges you to use similar mathematical ideas.</p>
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Quince, quance, quonce<br></br>
<br></br>
(1) $7$ quince weigh the same as $4$ quonce, so a quince weighs
less than a quonce. <br></br>
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(2) $5$ quonce weigh the same as $6$ quance, so a quance weighs
less than a quonce.<br></br>
<br></br>
So quonce is the heaviest. But $20$ quonce weigh the same as $35$
quince (from (1) multiplied by $5$), and $20$ quonce weigh the same
as $24$ quance (from (2) multiplied by $4$), so $35$ quince weigh
the same as $24$ quance, so a quance weighs more than a
quince.<br></br>
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Weekly Problem 33 - 2008
Quince, quonce and quance are three types of fruit. Can you work out the order of heaviness of the fruits?
Algebra
Algebra - generally
Secondary Mapping Document
Equations and formulae LS