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The problems reference contexts such as drinking juice, goldfish in an aquarium, birds in a zoo, tulips in a garden, checked-out library books, colored grid squares, sold baseball cards, and hens on a farm. Each item defines a variable for an unknown total and offers multiple-choice equations for selecting the correct relationship.",{"@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-an-equation-with-a-fractional-coefficient-answer-key/466791/",{"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-an-equation-with-a-fractional-coefficient-answer-key/466791.png","ImageObject",300,407,{"name":92,"@type":93},"Liam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","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 do the problems ask you to do in this worksheet?","Question",{"text":112,"@type":113},"For each scenario, choose the equation that models the relationship using a fractional coefficient and the given variable.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is each variable defined in the questions?",{"text":117,"@type":113},"Each problem states what the variable represents, such as the total cups in the whole jug, the total fish in the aquarium, or the total number of birds.",{"name":119,"@type":110,"acceptedAnswer":120},"How should you determine which equation choice is correct?",{"text":121,"@type":113},"Identify the fraction described in the scenario, apply it to the known quantity, and match it to the equation format consistent with the variable representing the whole.","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},466791,1792922658,{"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},8796095461564,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Writing an Equation with a Fractional Coefficient Name:  \n\n| Choose the equation that models each situation.\u003Cbr>1) John drank 3⁄ 4 of a jug of juice at the party. He drank 57 cups. If j represents the number of cups in the whole jug, which equation models this?\u003Cbr>A. ( 3⁄ 4) × 57 = j B. ( 3⁄ 4)j = 57 C. ( 4⁄ 3)j = 57 D. 3j = 57 | Answers |\n| --- | --- |\n|  | 1.  \u003Cbr>2.   |\n| 2) In the aquarium, 4⁄ 5 of the fish are goldfish. There are 60 goldfish. If s represents the number of fish in the aquarium, which equation models this?\u003Cbr>A. ( 4⁄ 5)s = 60 B. ( 5⁄ 4)s = 60 C. 4s = 60 D. ( 4⁄ 5) × 60 = s | 3.  \u003Cbr>4.   |\n| 3) In the zoo, 5⁄ 8 of the animals were birds. There were 30 birds. If w represents the number of animals in the zoo, which equation models this?\u003Cbr>A. 5w = 30 B. ( 8⁄ 5) w = 30 C. ( 5⁄ 8) × 30 = w D. ( 5⁄ 8) w = 30 | 5.  \u003Cbr>6.  \u003Cbr>7.   |\n| 4) In the garden, 2⁄ 3 of the flowers were tulips. There were 52 tulips. If g represents the number of flowers in the garden, which equation models this?\u003Cbr>A. ( 3⁄ 2)g = 52 B. ( 2⁄ 3)g = 52 C. ( 2⁄ 3) × 52 = g D. 2g = 52 | 8.   |\n| 5) In the library, 2⁄ 3 of the books were checked out. 24 books were checked out. If b represents the number of books in the library, which equation models this?\u003Cbr>A. 2b = 24 B. ( 3⁄ 2)b = 24 C. ( 2⁄ 3)b = 24 D. ( 2⁄ 3) × 24 = b |  |\n| 6) Kaleb colored 2⁄ 5 of the squares on the grid. He colored 16 squares. If c represents the number of squares on the grid, which equation models this?\u003Cbr>A. 2c = 16 B. ( 5⁄ 2)c = 16 C. ( 2⁄ 5)c = 16 D. ( 2⁄ 5) × 16 = c |  |\n| 7) Adam sold 2⁄ 3 of his baseball cards at the show. He sold 56 cards. If c represents the number of cards he had, which equation models this?\u003Cbr>A. ( 2⁄ 3)c = 56 B. ( 2⁄ 3) × 56 = c C. ( 3⁄ 2)c = 56 D. 2c = 56 |  |\n| 8) On the farm, 2⁄ 3 of the chickens are hens. There are 66 hens. If c represents the number of chickens on the farm, which equation models this?\u003Cbr>A. ( 3⁄ 2)c = 66 B. 2c = 66 C. ( 2⁄ 3) × 66 = c D. ( 2⁄ 3)c = 66 |  |\n\n[Math](Math www.CommonCoreSheets.com 3 1-8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3 1-8)[ 3](Math www.CommonCoreSheets.com 3 1-8)[ 1-8](Math www.CommonCoreSheets.com 3 1-8) 88 75 63 50 38 25 13 0  \n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n Writing an Equation with a Fractional Coefficient Name: Answer Key  \n\n| Choose the equation that models each situation.\u003Cbr>1) John drank 3⁄ 4 of a jug of juice at the party. He drank 57 cups. If j represents the number of cups in the whole jug, which equation models this?\u003Cbr>A. ( 3⁄ 4) × 57 = j B. ( 3⁄ 4)j = 57 C. ( 4⁄ 3)j = 57 D. 3j = 57 | Answers |  |\n| --- | --- | --- |\n|  | 1.  B \u003Cbr>2.  A  |  |\n| 2) In the aquarium, 4⁄ 5 of the fish are goldfish. There are 60 goldfish. If s represents the number of fish in the aquarium, which equation models this?\u003Cbr>A. ( 4⁄ 5)s = 60 B. ( 5⁄ 4)s = 60 C. 4s = 60 D. ( 4⁄ 5) × 60 = s | 3.\u003Cbr>4. | D |\n|  |  | B |\n|  |  |  |\n| 3) In the zoo, 5⁄ 8 of the animals were birds. There were 30 birds. If w represents the number of animals in the zoo, which equation models this?\u003Cbr>A. 5w = 30 B. ( 8⁄ 5) w = 30 C. ( 5⁄ 8) × 30 = w D. ( 5⁄ 8) w = 30 | 5.\u003Cbr>6.\u003Cbr>7. | C |\n|  |  | C |\n|  |  | A |\n|  |  |  |\n| 4) In the garden, 2⁄ 3 of the flowers were tulips. There were 52 tulips. If g represents the number of flowers in the garden, which equation models this?\u003Cbr>A. ( 3⁄ 2)g = 52 B. ( 2⁄ 3)g = 52 C. ( 2⁄ 3) × 52 = g D. 2g = 52 | 8. | D |\n|  |  |  |\n| 5) In the library, 2⁄ 3 of the books were checked out. 24 books were checked out. If b represents the number of books in the library, which equation models this?\u003Cbr>A. 2b = 24 B. ( 3⁄ 2)b = 24 C. ( 2⁄ 3)b = 24 D. ( 2⁄ 3) × 24 = b |  |  |\n| 6) Kaleb colored 2⁄ 5 of the squares on the grid. He colored 16 squares. If c represents the number of squares on the grid, which equation models this?\u003Cbr>A. 2c = 16 B. ( 5⁄ 2)c = 16 C. ( 2⁄ 5)c = 16 D. ( 2⁄ 5) × 16 = c |  |  |\n| 7) Adam sold 2⁄ 3 of his baseball cards at the","cbCaifduHxkpfC8b","https://ap.wps.com/l/cbCaifduHxkpfC8b","pdf",64114,"English","# Choose the equation that models each situation\n## Problem set 1-4\n## Problem set 5-8","[{\"question\":\"What do the problems ask you to do in this worksheet?\",\"answer\":\"For each scenario, choose the equation that models the relationship using a fractional coefficient and the given variable.\"},{\"question\":\"How is each variable defined in the questions?\",\"answer\":\"Each problem states what the variable represents, such as the total cups in the whole jug, the total fish in the aquarium, or the total number of birds.\"},{\"question\":\"How should you determine which equation choice is correct?\",\"answer\":\"Identify the fraction described in the scenario, apply it to the known quantity, and match it to the equation format consistent with the variable representing the whole.\"}]","Writing an Equation with a Fractional Coefficient - Answer Key | PDF",1790771848]