{"id":11500,"date":"2021-05-29T14:12:17","date_gmt":"2021-05-29T14:12:17","guid":{"rendered":"http:\/\/www.max-sperling.bplaced.net\/?p=11500"},"modified":"2021-05-29T14:12:17","modified_gmt":"2021-05-29T14:12:17","slug":"exercise-6-algebra","status":"publish","type":"post","link":"http:\/\/www.max-sperling.bplaced.net\/?p=11500","title":{"rendered":"Math &#8211; Exercise 6 (Algebra)"},"content":{"rendered":"<p><strong>Given<\/strong><br \/>\n<center>A solution with 12% alcohol (a<sub>1<\/sub>) and another with 26% (a<sub>2<\/sub>).<\/center><\/p>\n<hr>\n<p><strong>Find<\/strong><br \/>\n<center>The amount of each solution to mix 5L with 17% alcohol.<\/center><\/p>\n<hr>\n<p><strong>Solution<\/strong><br \/>\n<center><br \/>\n\\(<br \/>\n\\begin{align*}<br \/>\n  a_1 + a_2 &#038;= 5 \\\\<br \/>\n  0,12a_1 + 0,26a_2 &#038;= 0,17 \\cdot 5 = 0,85 \\\\\\\\<br \/>\n  a_1 &#038;= 5 &#8211; a_2 \\\\<br \/>\n  0,12(5 &#8211; a_2) + 0,26a_2 &#038;= 0,85 \\\\<br \/>\n  0,6 &#8211; 0,12a_2 + 0,26a_2 &#038;= 0,85 \\\\<br \/>\n  0,14a_2 &#038;= 0,25 \\\\<br \/>\n  a_2 &#038;\\approx 1,786 \\\\<br \/>\n  a_1 &#038;\\approx 3,214<br \/>\n\\end{align*}<br \/>\n\\)<br \/>\n<\/center><\/p>\n<hr>\n<p><strong>Answer<\/strong><br \/>\n<center>1,786L with 26% alcohol and 3,214L with 12% alcohol.<\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given A solution with 12% alcohol (a1) and another with 26% (a2). Find The amount of each solution to mix<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[47],"tags":[],"_links":{"self":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/11500"}],"collection":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11500"}],"version-history":[{"count":0,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/11500\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11500"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11500"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11500"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}