[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-481156-105":59,"doc-detail-481156-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","","Worksheet and answer key for practicing ratio-based unit conversion equations. Each item states a fixed relationship between two units (e.g., gallons to quarts, yards to feet, dollars to pennies/dimes/quarters, pints to cups, kilometers to meters, pounds to ounces, kilograms to grams, meters to centimeters, liters to milliliters, feet to inches). For every scenario, the task is to write an equation using y for the number of input units and Z for the total number of output units, typically in the form y × (conversion factor) = Z.",{"@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/481156/",{"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/481156.png","ImageObject",300,407,{"name":92,"@type":93},"Well Done","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","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},"What does y represent in these problems?","Question",{"text":112,"@type":113},"y represents the number of the starting units given in each ratio statement.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is Z used for in the worksheet?",{"text":117,"@type":113},"Z is the total number of the target units you need to calculate after applying the ratio conversion.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the equations typically written?",{"text":121,"@type":113},"Each equation is written as y × (conversion factor) = Z, using the fixed units relationship provided in the problem.","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},481156,1792832578,{"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},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 gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gallons.\u003Cbr>1) Every yard is 3 feet. Write an equation to express the total number of feet (Z) in\u003Cbr>(y) yards.\u003Cbr>2) Every dollar is 100 pennies. Write an equation to express the total number of pennies (Z) in (y) dollars.\u003Cbr>3) Every pint is 2 cups. Write an equation to express the total number of cups (Z) in (y) pints.\u003Cbr>4) Every kilometer is 1,000 meters. Write an equation to express the total number of meters (Z) in (y) kilometers.\u003Cbr>5) For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds.\u003Cbr>6) Every meter is 100 centimeters. Write an equation to express the total number of centimeters (Z) in (y) meters.\u003Cbr>7) For each kilogram there are 1,000 grams. Write an equation to express the total number of grams (Z) in (y) kilograms.\u003Cbr>8) Every dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars.\u003Cbr>9) Every dollar is 4 quarters. Write an equation to express the total number of quarters (Z) in (y) dollars.\u003Cbr>10) Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters.\u003Cbr>11) Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters.\u003Cbr>12) Every liter is 1,000 milliliters. Write an equation to express the total number of milliliters (Z) in (y) liters.\u003Cbr>13) Every foot is 12 inches. Write an equation to express the total number of inches (Z) in (y) feet.\u003Cbr>14) Every cup is 8 ounces. Write an equation to express the total number of ounces\u003Cbr>(Z) in (y) cups.\u003Cbr>15) Every quart is 2 pints. Write an equation to express the total number of pints\u003Cbr>(Z) in (y) quarts. |  |  |  |  |  |  | Answers\u003Cbr>Ex.  y × 4 = Z  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.  \u003Cbr>14.  \u003Cbr>15.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 6 | 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 gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gallons.\u003Cbr>Every yard is 3 feet. Write an equation to express the total number of feet (Z) in\u003Cbr>(y) yards.\u003Cbr>Every dollar is 100 pennies. Write an equation to express the total number of pennies (Z) in (y) dollars.\u003Cbr>Every pint is 2 cups. Write an equation to express the total number of cups (Z) in (y) pints.\u003Cbr>Every kilometer is 1,000 meters. Write an equation to express the total number of meters (Z) in (y) kilometers.\u003Cbr>For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds.\u003Cbr>Every meter is 100 centimeters. Write an equation to express the total number of centimeters (Z) in (y) meters.\u003Cbr>For each kilogram there are 1,000 grams. Write an equation to express the total number of grams (Z) in (y) kilograms.\u003Cbr>Every dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars.\u003Cbr>Every dollar is 4 quarters. Write an equation to express the total number of quarters (Z) in (y) dollars.\u003Cbr>Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters.\u003Cbr>Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters.\u003Cbr>Every liter is 1,000 mi","cbCaimDWJLtMWHSL","https://ap.wps.com/l/cbCaimDWJLtMWHSL","pdf",45046,"English","# Solve each problem\n## Ratio-to-equation conversions","[{\"question\":\"What does y represent in these problems?\",\"answer\":\"y represents the number of the starting units given in each ratio statement.\"},{\"question\":\"What is Z used for in the worksheet?\",\"answer\":\"Z is the total number of the target units you need to calculate after applying the ratio conversion.\"},{\"question\":\"How are the equations typically written?\",\"answer\":\"Each equation is written as y × (conversion factor) = Z, using the fixed units relationship provided in the problem.\"}]","Writing Equations from Ratios | PDF",1790796244]