6745
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2011-02-01T00:00:01
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<p>Flora the florist has $24$ white, $42$ red and $36$ yellow roses. What is the greatest number of bunches she can make if she uses all of these flowers and all the bunches are identical?<br></br>
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If you liked this problem, <a href="http://nrich.maths.org/public/viewer.php?obj_id=754&part=">here is an NRICH task</a> which challenges you to use similar mathematical ideas.</p>
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<mdoxml version="1.0">The number of bunches must divide the number of white roses, the
number of yellow roses and the number of red roses. The highest
common factor of $24$, $36$ and $42$ is $6$, so the most bunches
Flora can make is $6$, each consisting of $4$ white, $6$ yellow and
$7$ red roses.<br></br></mdoxml>
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Weekly Problem 45 - 2009
Numbers and the Number System
Number - generally
Decision Mathematics and Combinatorics
Combinations