Mike bought 17 bottles of beer from a shop. He wants to move these bottles to his car. If he can only carry 3 bottles at a time, what is the minimum number of trips he needs to make to carry these bottles? Answer: 6.<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Answer:<\/strong> Mike needs to make 6 trips<\/strong> to carry all 17 bottles.<\/p>\n\n\n\n Mike has 17 bottles to carry, but he can only carry 3 bottles per trip. To find out how many trips he needs to make, we divide the total number of bottles by the number of bottles he can carry each trip: Number of trips=173\\text{Number of trips} = \\frac{17}{3}<\/p>\n\n\n\n Doing the division: 17\u00f73=5 remainder 217 \\div 3 = 5 \\text{ remainder } 2<\/p>\n\n\n\n This means that if Mike makes 5 trips carrying 3 bottles each, he will have carried: 5\u00d73=15 bottles5 \\times 3 = 15 \\text{ bottles}<\/p>\n\n\n\n But since he has 17 bottles in total, there are still 2 bottles left after those 5 trips. Therefore, he will need one more trip<\/strong> to carry these remaining 2 bottles.<\/p>\n\n\n\n So the total number of trips required is: 5+1=6 trips5 + 1 = 6 \\text{ trips}<\/p>\n\n\n\n Even though Mike can carry 3 bottles per trip, the total number (17) is not divisible evenly by 3. If he tries to carry 3 bottles for 5 trips, he carries only 15 bottles, leaving 2 bottles behind. Since he can\u2019t carry more than 3 bottles in a trip, he must take a sixth trip to carry the remaining 2 bottles.<\/p>\n\n\n\n For any number of items nn and a maximum carry capacity per trip cc:<\/p>\n\n\n\n This method ensures you find the minimum number of trips required when you have a fixed carrying capacity.<\/p>\n\n\n\n This ensures Mike moves all bottles in the fewest trips possible without exceeding his carrying limit.<\/p>\n","protected":false},"excerpt":{"rendered":" Mike bought 17 bottles of beer from a shop. He wants to move these bottles to his car. If he can only carry 3 bottles at a time, what is the minimum number of trips he needs to make to carry these bottles? Answer: 6. The correct answer and explanation is: Answer: Mike needs to […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24331","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24331","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24331"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24331\/revisions"}],"predecessor-version":[{"id":24332,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24331\/revisions\/24332"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nExplanation:<\/h3>\n\n\n\n
\n\n\n\nWhy can’t it be fewer trips?<\/h3>\n\n\n\n
\n\n\n\nGeneralizing the approach:<\/h3>\n\n\n\n
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\n\n\n\nSummary:<\/h3>\n\n\n\n
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