[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-635335-105":59,"doc-detail-635335-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","how-much-treasure-issue-4-math-problem-solving","How Much Treasure - Issue 4 - Math Problem Solving","","This educational resource presents a structured mathematics challenge for students titled How Much Treasure #4. The activity involves determining the total number of gold coins in a pirate's treasure chest based on specific constraints: the chest holds a maximum of 120 coins, dividing the coins into piles of 7 leaves a remainder of 3, the total count must involve at least 2 piles, and the final sum must be an odd number. The document provides both the problem statement and a comprehensive list of all eight valid solutions, which include 17, 31, 45, 59, 73, 87, 101, and 115 coins. By combining algebraic reasoning with logical deduction, this exercise helps learners practice modular arithmetic and multi-step problem-solving techniques in an engaging, themed context suitable for classroom or independent study.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/how-much-treasure-issue-4-math-problem-solving/635335/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/how-much-treasure-issue-4-math-problem-solving/635335.png","ImageObject",300,407,{"name":92,"@type":93},"Chumphorn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the conditions for the number of gold coins?","Question",{"text":112,"@type":113},"The total must be at most 120, leave a remainder of 3 when divided by 7, form at least two piles of 7, and be an odd number.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many possible solutions are there for the treasure count?",{"text":117,"@type":113},"There are 8 possible solutions: 17, 31, 45, 59, 73, 87, 101, and 115.",{"name":119,"@type":110,"acceptedAnswer":120},"Why must the number of coins be at least 14 for the conditions to be met?",{"text":121,"@type":113},"The problem states that there must be at least 2 piles of 7 coins, meaning the minimum number of coins must be 14 plus the remainder of 3, totaling at least 17.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},635335,1792898899,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","Name Date  \nHOW MUCH TREASURE \\#4  \nPirate Salamander has found a treasure chest with lots of gold pieces inside.  \nThe chest is only large enough to hold a maximum of 120 gold pieces.  \nPirate Salamander puts the gold in piles of 7 coins and finds that there are 3 coins left over.  \nHe makes at least 2 piles of coins and he finds that there is an odd number of gold pieces.  \nHow many coins could there have been in the chest?  \nFind all possibilities.  \nName Date  \nHOW MUCH TREASURE \\#4 ANSWERS  \nPirate Salamander has found a treasure chest with lots of gold pieces inside.  \nThe chest is only large enough to hold a maximum of 120 gold pieces.  \nPirate Salamander puts the gold in piles of 7 coins and finds that there are 3 coins left over.  \nHe makes at least 2 piles of coins and he finds that there is an odd number of gold pieces.  \nHow many coins could there have been in the chest?  \nThere are 8 possibilities.  \n17 31 45 59 73 87 101 and 115 coins","cbCaiui7bodC6ZSp","https://ap.wps.com/l/cbCaiui7bodC6ZSp","pdf",166964,"English","# Problem Statement\n## Puzzle Conditions\n# Solutions\n## Possible Coin Counts","[{\"question\":\"What are the conditions for the number of gold coins?\",\"answer\":\"The total must be at most 120, leave a remainder of 3 when divided by 7, form at least two piles of 7, and be an odd number.\"},{\"question\":\"How many possible solutions are there for the treasure count?\",\"answer\":\"There are 8 possible solutions: 17, 31, 45, 59, 73, 87, 101, and 115.\"},{\"question\":\"Why must the number of coins be at least 14 for the conditions to be met?\",\"answer\":\"The problem states that there must be at least 2 piles of 7 coins, meaning the minimum number of coins must be 14 plus the remainder of 3, totaling at least 17.\"}]","How Much Treasure - Issue 4 - Math Problem Solving | PDF",1792675765]