[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-481151-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-481151-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","writing-equations-from-ratios-solve-each-problem-481151","Writing Equations from Ratios - Solve each problem","","Writing Equations from Ratios worksheet and answer key practice expressing quantity relationships using multiplication equations. Each item describes a conversion rate (e.g., dollars to dimes, gallons to quarts, yards to feet, pounds to ounces, meters to centimeters, kilometers to meters, and other units). For every scenario, students write an equation that multiplies the given number of units (y) by the constant ratio to obtain the total amount (Z).",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/writing-equations-from-ratios-solve-each-problem-481151/481151/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/writing-equations-from-ratios-solve-each-problem-481151/481151.png","ImageObject",300,407,{"name":42,"@type":43},"Well Done","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet ask students to do in each problem?","Question",{"text":63,"@type":64},"Write an equation that expresses the total number of a target unit (Z) in terms of a starting amount (y) using the given ratio.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How is Z represented in the equations?",{"text":68,"@type":64},"Z represents the total number of the target unit after applying the conversion ratio to y.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the relationship between y and Z in these problems?",{"text":72,"@type":64},"Z equals y multiplied by the constant ratio from the prompt (e.g., y × 4 = Z when the ratio is 1 gallon to 4 quarts).","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},481151,1790820284,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":112,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":144},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 dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars.\u003Cbr>1) Every gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gallons.\u003Cbr>2) Every yard is 3 feet. Write an equation to express the total number of feet (Z) in\u003Cbr>(y) yards.\u003Cbr>3) Every dollar is 100 pennies. Write an equation to express the total number of pennies (Z) in (y) dollars.\u003Cbr>4) For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds.\u003Cbr>5) Every meter is 100 centimeters. Write an equation to express the total number of centimeters (Z) in (y) meters.\u003Cbr>6) Every kilometer is 1,000 meters. Write an equation to express the total number of meters (Z) in (y) kilometers.\u003Cbr>7) Every foot is 12 inches. Write an equation to express the total number of inches (Z) in (y) feet.\u003Cbr>8) Every cup is 8 ounces. Write an equation to express the total number of ounces\u003Cbr>(Z) in (y) cups.\u003Cbr>9) Every quart is 2 pints. Write an equation to express the total number of pints\u003Cbr>(Z) in (y) quarts.\u003Cbr>10) Every dollar is 4 quarters. Write an equation to express the total number of quarters (Z) in (y) dollars.\u003Cbr>11) Every pint is 2 cups. Write an equation to express the total number of cups (Z) in (y) pints.\u003Cbr>12) Every quarter is 5 nickels. Write an equation to express the total number of nickels (Z) in (y) quarters.\u003Cbr>13) For each kilogram there are 1,000 grams. Write an equation to express the total number of grams (Z) in (y) kilograms.\u003Cbr>14) Every quarter is 25 pennies. Write an equation to express the total number of pennies (Z) in (y) quarters.\u003Cbr>15) Every centimeter is 10 millimeters. Write an equation to express the total number of millimeters (Z) in (y) centimeters. |  |  |  |  |  |  | Answers\u003Cbr>Ex.  y × 10 = 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) | 1 | 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.\u003Cbr>Ex) Every dollar is 10 dimes. Write an equation to express the total number of dimes (Z) in (y) dollars.\u003Cbr>1) Every gallon is 4 quarts. Write an equation to express the total number of quarts (Z) in (y) gallons. |  |  |  |  |  |  | Answers\u003Cbr>Ex.  y × 10 = Z  1.  y × 4 = Z  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Every yard is 3 feet. Write an equation to express the total number of feet (Z) in (y) yards. |  |  |  |  |  | 2. |  | y × 3 = Z |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | Every dollar is 100 pennies. Write an equation to express the total number of pennies (Z) in (y) dollars. |  |  |  |  |  | 3.\u003Cbr>4. |  | y × 100 = Z |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | y × 16 = Z |  |  |  |  |  |\n| 4) | For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds. |  |  |  |  |  | 5. |  | y × 100 = Z |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | Every meter is 100 centimeters. Write an equation to express the total number of centimeters (Z) in (y) meters. |  |  |  |  |  | 6. |  | y × 1,000 = Z |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | Every kilometer is 1,000 meters. Write an equation to express the total number of meters (Z) in (y) kilometers. |  |  |  |  |  | 7. |  | y × 12 = Z |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | Every foot is 12 inches. Write an equation to express the total number of |  |  |  |  |  | 8. |","cbCaivs1iWduvhhk","https://ap.wps.com/l/cbCaivs1iWduvhhk","pdf",457674,"English","# Solve each problem\n## Examples and unit ratio equations\n## Answer key","[{\"question\":\"What does the worksheet ask students to do in each problem?\",\"answer\":\"Write an equation that expresses the total number of a target unit (Z) in terms of a starting amount (y) using the given ratio.\"},{\"question\":\"How is Z represented in the equations?\",\"answer\":\"Z represents the total number of the target unit after applying the conversion ratio to y.\"},{\"question\":\"What is the relationship between y and Z in these problems?\",\"answer\":\"Z equals y multiplied by the constant ratio from the prompt (e.g., y × 4 = Z when the ratio is 1 gallon to 4 quarts).\"}]","Writing Equations from Ratios - Solve each problem | PDF",1790796238,76]