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Each item states a conversion relationship (e.g., dollars to dimes/pennies, gallons to quarts, yards to feet, meters to centimeters, kilometers to meters) and requires forming an equation that multiplies y by the given unit conversion factor. The answer key lists the corresponding equations for problems 1 through 15.",{"@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-answer-key/464299/",{"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-answer-key/464299.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","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 do y and Z represent in these problems?","Question",{"text":112,"@type":113},"y represents the given number of starting units, and Z represents the total number of converted units after applying the ratio. Each answer expresses Z as a multiplication of y by the conversion factor.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you form an equation from a ratio statement?",{"text":117,"@type":113},"Use the stated “Every/For each” conversion to identify the multiplication factor. Then write an equation in the form y × (conversion factor) = Z.",{"name":119,"@type":110,"acceptedAnswer":120},"Which types of conversions are included?",{"text":121,"@type":113},"The sheet includes common unit conversions across currency, length, volume, and mass, such as dollars-to-quarts, yards-to-feet, meters-to-centimeters, and kilograms-to-grams, each with a specific multiplier shown in the prompt.","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},464299,1790768006,{"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":29,"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":129,"read_time":39},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","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. |","cbCair3pgr3coaBz","https://ap.wps.com/l/cbCair3pgr3coaBz","pdf",45041,"English","# Solve each problem\n## Unit conversion ratios to write equations","[{\"question\":\"What do y and Z represent in these problems?\",\"answer\":\"y represents the given number of starting units, and Z represents the total number of converted units after applying the ratio. Each answer expresses Z as a multiplication of y by the conversion factor.\"},{\"question\":\"How do you form an equation from a ratio statement?\",\"answer\":\"Use the stated “Every/For each” conversion to identify the multiplication factor. Then write an equation in the form y × (conversion factor) = Z.\"},{\"question\":\"Which types of conversions are included?\",\"answer\":\"The sheet includes common unit conversions across currency, length, volume, and mass, such as dollars-to-quarts, yards-to-feet, meters-to-centimeters, and kilograms-to-grams, each with a specific multiplier shown in the prompt.\"}]","Writing Equations from Ratios - Answer Key | PDF"]