[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-477308-105":59,"doc-detail-477308-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","making-an-amount-with-the-fewest-coins","Making an Amount with the Fewest Coins","","Worksheet activity requiring students to write the fewest coins needed to make given amounts in cents. Each problem lists a target value (e.g., 78¢, 97¢, 51¢, 25¢) and provides blank lines for the number of each coin type used. The accompanying answer keys show one optimal set of coin counts for each listed amount, supporting practice in coin change strategies and efficient decomposition of totals.",{"@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/making-an-amount-with-the-fewest-coins/477308/",{"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/making-an-amount-with-the-fewest-coins/477308.png","ImageObject",300,407,{"name":92,"@type":93},"Stanford","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main task of this worksheet?","Question",{"text":112,"@type":113},"For each given amount in cents, write how many of each coin are needed to make the amount using the fewest coins.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are there provided answers for checking work?",{"text":117,"@type":113},"Yes. The document includes an answer key listing the optimal coin counts for each problem.",{"name":119,"@type":110,"acceptedAnswer":120},"What math skill does this practice target?",{"text":121,"@type":113},"It targets selecting an efficient combination of coin denominations to form a target total with a minimum number of 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Answers\u003Cbr>1.        \u003Cbr>2.        \u003Cbr>3.        \u003Cbr>4.        \u003Cbr>5.        \u003Cbr>6.        \u003Cbr>7.        \u003Cbr>8.        \u003Cbr>9.        \u003Cbr>10.         |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10) | 78¢ =\u003Cbr>97¢ =\u003Cbr>51¢ =\u003Cbr>25¢ =\u003Cbr>82¢ =\u003Cbr>42¢ =\u003Cbr>98¢ =\u003Cbr>55¢ =\u003Cbr>59¢ =\u003Cbr>33¢ = | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  |  |  |  |  |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nMaking an Amount with the Fewest Coins  \nName: Answer Key  \n\n| Write how many of each coin you would use to make each amount with the fewest coins. |  |  | Answers 1.  3   0   0   3  2.  3   2   0   2  3.  2   0   0   1  4.  1   0   0   0  5.  3   0   1   2  6.  1   1   1   2  7.  3   2   0   3  8.  2   0   1   0  9.  2   0   1   4  10.  1   0   1   3  |\n| --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10) | 78¢ =\u003Cbr>3\u003Cbr>97¢ =\u003Cbr>3\u003Cbr>51¢ =\u003Cbr>2\u003Cbr>25¢ =\u003Cbr>1\u003Cbr>82¢ =\u003Cbr>3\u003Cbr>42¢ =\u003Cbr>1\u003Cbr>98¢ =\u003Cbr>3\u003Cbr>55¢ =\u003Cbr>2\u003Cbr>59¢ =\u003Cbr>2\u003Cbr>33¢ =\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>2\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>2\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>3\u003Cbr>+\u003Cbr>2\u003Cbr>+\u003Cbr>1\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>2\u003Cbr>+\u003Cbr>2\u003Cbr>+\u003Cbr>3\u003Cbr>+\u003Cbr>0\u003Cbr>+\u003Cbr>4\u003Cbr>+\u003Cbr>3\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>| |  |\n\n[Math](Math www.CommonCoreSheets.com 1 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1 1-10)[ 1](Math www.CommonCoreSheets.com 1 1-10)[ 1-10](Math www.CommonCoreSheets.com 1 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nMaking an Amount with the Fewest Coins  \nName:  \n\n| Write how many of each coin you would use to make each amount with the fewest coins. |  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.        \u003Cbr>2.        \u003Cbr>3.        \u003Cbr>4.        \u003Cbr>5.        \u003Cbr>6.        \u003Cbr>7.        \u003Cbr>8.         |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8) | 78¢ =\u003Cbr>97¢ =\u003Cbr>51¢ =\u003Cbr>25¢ =\u003Cbr>82¢ =\u003Cbr>42¢ =\u003Cbr>98¢ =\u003Cbr>55¢ = | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  |  |  |  |  |  | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \nMaking an Amount with the Fewest Coins  \nName:  \n\n| Write how many of each coin you would use to make each amount with the fewest coins. |  |  |  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.        \u003Cbr>2.        \u003Cbr>3.        \u003Cbr>4.        \u003Cbr>5.        \u003Cbr>6.        \u003Cbr>7.        \u003Cbr>8.        \u003Cbr>9.        \u003Cbr>10.         |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10) | 36¢ =\u003Cbr>75¢ =\u003Cbr>77¢ =\u003Cbr>30¢ =\u003Cbr>44¢ =\u003Cbr>87¢ =\u003Cbr>80¢ =\u003Cbr>38¢ =\u003Cbr>78¢ =\u003Cbr>55¢ = | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | | +\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+\u003Cbr>+ | |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  |  |  |  |  |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Ma","cbCaikgn9GzJPZM0","https://ap.wps.com/l/cbCaikgn9GzJPZM0","pdf",702951,"English","# Problems\n## Amounts to make with the fewest coins\n# Answer Key","[{\"question\":\"What is the main task of this worksheet?\",\"answer\":\"For each given amount in cents, write how many of each coin are needed to make the amount using the fewest coins.\"},{\"question\":\"Are there provided answers for checking work?\",\"answer\":\"Yes. The document includes an answer key listing the optimal coin counts for each problem.\"},{\"question\":\"What math skill does this practice target?\",\"answer\":\"It targets selecting an efficient combination of coin denominations to form a target total with a minimum number of coins.\"}]","Making an Amount with the Fewest Coins | PDF",1790789518,76]