[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-481152-105":59,"doc-detail-481152-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","writing-equations-from-ratios","Writing Equations from Ratios","","Students practice writing equations using ratios to convert between units and compute a total quantity. Each prompt states a fixed conversion (e.g., quarters to nickels, centimeters to millimeters, gallons to quarts, liters to milliliters, feet to inches, dollars to coins, and weight/length measures). The task requires expressing the total number of the target unit (Z) in terms of the number of given units (y), using the provided equivalence.",{"@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/writing-equations-from-ratios/481152/",{"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/writing-equations-from-ratios/481152.png","ImageObject",300,407,{"name":92,"@type":93},"Well Done","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does each problem ask students to do?","Question",{"text":112,"@type":113},"Write an equation that expresses the total number of a target unit (Z) in terms of y given units, based on the stated ratio.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What do y and Z represent in the equations?",{"text":117,"@type":113},"y represents the number of the original unit given in the prompt, and Z represents the total number of the converted target unit.",{"name":119,"@type":110,"acceptedAnswer":120},"Can the problems involve different measurement systems?",{"text":121,"@type":113},"Yes. The worksheet includes conversions for money, length, volume, and weight units, each using a constant ratio.","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},481152,1792832579,{"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":19,"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},5909892210082,"https://ap-avatar.wpscdn.com/avatar/56001069da27c9f41e8?x-image-process=image/resize,m_fixed,w_180,h_180&k=1789614185077863061","Writing Equations from Ratios  \nName:  \n\n| Solve each problem.\u003Cbr>Ex) Every quarter is 5 nickels. Write an equation to express the total number of nickels (Z) in (y) quarters.\u003Cbr>1) Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters. |  |  |  |  | Answers\u003Cbr>Ex.  y × 5 = Z \u003Cbr>1.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters. |  |  |  | 2. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | Every gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gallons. |  |  |  | 3.\u003Cbr>4. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | Every pint is 2 cups. Write an equation to express the total number of cups (Z) in (y) pints. |  |  |  | 5. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | Every liter is 1,000 milliliters. Write an equation to express the total number of milliliters (Z) in (y) liters. |  |  |  | 6. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | Every foot is 12 inches. Write an equation to express the total number of inches (Z) in (y) feet. |  |  |  | 7. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | Every kilometer is 1,000 meters. Write an equation to express the total number of meters (Z) in (y) kilometers. |  |  |  | 8. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | Every meter is 100 centimeters. Write an equation to express the total number of centimeters (Z) in (y) meters. |  |  |  | 9.\u003Cbr>10. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | Every dollar is 100 pennies. Write an equation to express the total number of pennies (Z) in (y) dollars. |  |  |  | 11. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | Every dollar is 4 quarters. Write an equation to express the total number of quarters (Z) in (y) dollars. |  |  |  | 12. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | Every dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars. |  |  |  | 13. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | Every yard is 3 feet. Write an equation to express the total number of feet (Z) in (y) yards. |  |  |  | 14.\u003Cbr>15. |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 13) | For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds. |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | For each kilogram there are 1,000 grams. Write an equation to express the total number of grams (Z) in (y) kilograms. |  |  |  |  |  |  |  |  |  |  |  |\n| 15) | Every quart is 2 pints. Write an equation to express the total number of pints (Z) in (y) quarts. |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>3\u003Cbr>1-10\u003Cbr>11-15 | 93 | 87 | 80 |  | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  | 27 | 20 | 13 |  | 7 | 0 |  |  |  |  |  |\n\nWriting Equations from Ratios  \nName: Answer Key  \n\n| Solve each problem. |  |  |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Ex)\u003Cbr>1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10)\u003Cbr>11)\u003Cbr>12)\u003Cbr>13) | Every quarter is 5 nickels. Write an equation to express the total number of nickels (Z) in (y) quarters.\u003Cbr>Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters.\u003Cbr>Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters.\u003Cbr>Every gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gall","cbCaidjo01jbIglL","https://ap.wps.com/l/cbCaidjo01jbIglL","pdf",44968,"English","# Solve each problem","[{\"question\":\"What does each problem ask students to do?\",\"answer\":\"Write an equation that expresses the total number of a target unit (Z) in terms of y given units, based on the stated ratio.\"},{\"question\":\"What do y and Z represent in the equations?\",\"answer\":\"y represents the number of the original unit given in the prompt, and Z represents the total number of the converted target unit.\"},{\"question\":\"Can the problems involve different measurement systems?\",\"answer\":\"Yes. The worksheet includes conversions for money, length, volume, and weight units, each using a constant ratio.\"}]","Writing Equations from Ratios | PDF",1790796240]