{"id":390,"date":"2009-06-24T22:24:17","date_gmt":"2009-06-25T05:24:17","guid":{"rendered":"http:\/\/new-gro.dyn.hhhh.org\/joeboy\/blog\/?p=390"},"modified":"2014-07-22T16:43:41","modified_gmt":"2014-07-22T23:43:41","slug":"12-ball-weighing-problem-find-the-fake","status":"publish","type":"post","link":"https:\/\/www.hhhh.org\/joeboy\/blog\/?p=390","title":{"rendered":"12 ball weighing problem &#8211; find the fake"},"content":{"rendered":"<p>Problem 85 from http:\/\/mathproblems.info\/group5.html<\/p>\n<blockquote><p>In front of you are 12 pearls, 11 being real and one fake. The real ones all weigh the same and the fake one differs in weight from the real ones (may weigh more or less). With a balance scale and three weighings how can you weed out the fake one and determine whether it is too heavy or too light?<\/p><\/blockquote>\n<figure id=\"attachment_503\" aria-describedby=\"caption-attachment-503\" style=\"width: 612px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.hhhh.org\/joeboy\/blog\/wp-content\/uploads\/2009\/06\/twelve_perls_one_lighter_fake_and_a_scale.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-503  \" title=\"twelve_pearls_one_lighter_fake_and_a_scale\" src=\"https:\/\/www.hhhh.org\/joeboy\/blog\/wp-content\/uploads\/2009\/06\/twelve_perls_one_lighter_fake_and_a_scale.jpg\" alt=\"Twelve pearls, one fake, and a scale\" width=\"612\" height=\"458\" \/><\/a><figcaption id=\"caption-attachment-503\" class=\"wp-caption-text\">Twelve pearls, one fake, and a scale<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Problem 85 from http:\/\/mathproblems.info\/group5.html In front of you are 12 pearls, 11 being real and one fake. The real ones all weigh the same and the fake one differs in weight from the real ones (may weigh more or less). With a balance scale and three weighings how can you weed out the fake one [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-390","post","type-post","status-publish","format-standard","hentry","category-weighing-problems"],"_links":{"self":[{"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/posts\/390","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=390"}],"version-history":[{"count":5,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/posts\/390\/revisions"}],"predecessor-version":[{"id":1191,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=\/wp\/v2\/posts\/390\/revisions\/1191"}],"wp:attachment":[{"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=390"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=390"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.hhhh.org\/joeboy\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=390"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}