[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-481492-105":59,"doc-detail-481492-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","creating-wholes-with-tape-diagram-solve-each-problem-using-a-tape-diagram","Creating Wholes With Tape Diagram - Solve each problem using a tape diagram","","Math worksheet focused on solving word problems by modeling quantities with tape diagrams. Problems ask students to compute unknown amounts across multiple parts of a situation, using relationships such as “4 times as many,” “17 fewer,” and totals like 225 or 798. Scenarios include text messages over summer months, sodas sold by size, lawn-mowing earnings, balloon distributions by age group, and time spent researching, preparing, and writing a report.",{"@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/creating-wholes-with-tape-diagram-solve-each-problem-using-a-tape-diagram/481492/",{"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/creating-wholes-with-tape-diagram-solve-each-problem-using-a-tape-diagram/481492.png","ImageObject",300,407,{"name":92,"@type":93},"Anna Hans","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you solve these problems using a tape diagram?","Question",{"text":112,"@type":113},"Set the tape lengths to represent the related quantities, then use the given multipliers and differences (such as “times as many” and “fewer than”) to determine each section. Finally, apply totals when provided.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kind of relationships appear in the worksheet problems?",{"text":117,"@type":113},"The worksheet uses ratio-style comparisons (e.g., one quantity is 4 times another or 8 times another), additive differences (e.g., 17 fewer, 16 dollars fewer, 10 minutes less), and overall totals (e.g., 225 sodas, 798 balloons).",{"name":119,"@type":110,"acceptedAnswer":120},"What are examples of the real-life contexts used?",{"text":121,"@type":113},"The contexts include messages sent across months, sodas sold by size, earnings from mowing lawns, balloons given to kids/teens/adults, and time spent researching and writing a report.","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},481492,1792856954,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},5909892332657,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Creating Wholes With Tape Diagram  \nName:  \n\n| Solve each problem using a tape diagram.\u003Cbr>1) Faye sent 343 text messages over the summer. In July she sent 4 times as many as she did in August. And in June she sent 17 fewer than in July. How many texts did she send in July? |  |  | 1.\u003Cbr>2.\u003Cbr>3. | Answers |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| June July August | | 343+ 17 |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 2) A theater owner was looking at how many sodas they sold of different sizes in a day. Total they sold 225 sodas. They sold 1/3 as many small sodas as they did large sodas. And they sold 20 fewer medium sodas as they did large sodas. How many medium sodas did they sell?\u003Cbr>|  |  | 4.\u003Cbr>5. |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 3) Victor earned $314 mowing lawns over the summer. In July he earned 5 times as much as he did in August. And in June he earned 16 dollars fewer than in July. How much money did he earn in August? |  |  |  |  |\n| June July August | | 314+ 16 |  |  |\n| 4) At the fair a vendor counted the number of balloons he gave away to kids, teens and adults. To teens he handed out 8 times as many as he had given to adults. To kids he gave out 8 fewer than he gave to teens. How many balloons did he give to adults, if he gave out 798 balloons all together?\u003Cbr>|  |  |  |  |\n| 5) Emily spent 232 minutes working on her report. She spent 5 times as long researching the topic as she did writing the paper. She also spent 10 minutes less than the time she spent researching just preparing material. How much time did she spend writing? |  |  |  |  |\n| preparing researching writing | | 232+ 10 |  |  |\n\n[Math](Math www.CommonCoreSheets.com 10 1-5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10 1-5)[ 10](Math www.CommonCoreSheets.com 10 1-5)[ 1-5](Math www.CommonCoreSheets.com 10 1-5) 80 60 40 20 0  \nCreating Wholes With Tape Diagram  \nName: Answer Key  \n\n| Solve each problem using a tape diagram.\u003Cbr>1) Faye sent 343 text messages over the summer. In July she sent 4 times as many as she did in August. And in June she sent 17 fewer than in July. How many texts did she send in July? |  |  | Answers\u003Cbr>1.  160  2.  85 \u003Cbr>3.  30  |  |\n| --- | --- | --- | --- | --- |\n| June July August | | 343+ 17 |  |  |\n| 2) A theater owner was looking at how many sodas they sold of different sizes in a day. Total they sold 225 sodas. They sold 1/3 as many small sodas as they did large sodas. And they sold 20 fewer medium sodas as they did large sodas. How many medium sodas did they sell?\u003Cbr>|  |  | 4.\u003Cbr>5. | 48 |\n|  |  |  |  | 22 |\n|  |  |  |  |  |\n| 3) Victor earned $314 mowing lawns over the summer. In July he earned 5 times as much as he did in August. And in June he earned 16 dollars fewer than in July. How much money did he earn in August? |  |  |  |  |\n| June July August | | 314+ 16 |  |  |\n| 4) At the fair a vendor counted the number of balloons he gave away to kids, teens and adults. To teens he handed out 8 times as many as he had given to adults. To kids he gave out 8 fewer than he gave to teens. How many balloons did he give to adults, if he gave out 798 balloons all together?\u003Cbr>|  |  |  |  |\n| 5) Emily spent 232 minutes working on her report. She spent 5 times as long researching the topic as she did writing the paper. She also spent 10 minutes less than the time she spent researching just preparing material. How much time did she spend writing? |  |  |  |  |\n| preparing researching writing | | 232+ 10 |  |  |\n\n[Math](Math www.CommonCoreSheets.com 10 1-5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10 1-5)[ 10](Math www.CommonCoreSheets.com 10 1-5)[ 1-5](Math www.CommonCoreSheets.com 10 1-5) 80 60 40 20 0  \nCreating Wholes With Tape Diagram  \nName:  \n\n| Solve each problem using a tape diagram. |  |  |  | Answers |\n| --- | --- | --- | --- | --- |\n| |  |  |  |  |\n| 1) Faye sent 343 text messages over the summer. In July she sent 4 times as many as she did in August. And in June she","cbCaic5LKisTQA7b","https://ap.wps.com/l/cbCaic5LKisTQA7b","pdf",45987,"English","# Problems\n## Tape diagram modeling\n## Solve unknown quantities","[{\"question\":\"How do you solve these problems using a tape diagram?\",\"answer\":\"Set the tape lengths to represent the related quantities, then use the given multipliers and differences (such as “times as many” and “fewer than”) to determine each section. Finally, apply totals when provided.\"},{\"question\":\"What kind of relationships appear in the worksheet problems?\",\"answer\":\"The worksheet uses ratio-style comparisons (e.g., one quantity is 4 times another or 8 times another), additive differences (e.g., 17 fewer, 16 dollars fewer, 10 minutes less), and overall totals (e.g., 225 sodas, 798 balloons).\"},{\"question\":\"What are examples of the real-life contexts used?\",\"answer\":\"The contexts include messages sent across months, sodas sold by size, earnings from mowing lawns, balloons given to kids/teens/adults, and time spent researching and writing a report.\"}]","Creating Wholes With Tape Diagram - Solve each problem using a tape diagram | PDF",1790796863]