[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522716-105":59,"doc-detail-522716-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","mixture-word-problems-infinitely-algebra-2","Mixture Word Problems - Infinitely Algebra 2","","Mixture Word Problems for Infinite Algebra 2 focus on solving practical percent-concentration, cost, and ratio questions. Problems include combining oils with different prices to determine a mixture cost per kg, mixing sugar solutions of specified percentages to find the new concentration, and diluting saline or acid solutions to reach target strengths. Additional tasks require finding proportions of two soils to achieve a clay percentage, and determining component amounts in alcohol, fruit juice, and mixed-nut or bronze alloys based on given concentrations and costs.",{"@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/mixture-word-problems-infinitely-algebra-2/522716/",{"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/mixture-word-problems-infinitely-algebra-2/522716.png","ImageObject",300,407,{"name":92,"@type":93},"Jacob","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find the cost per kg when mixing oils with different prices?","Question",{"text":112,"@type":113},"Use weighted averaging based on the given quantities and per-kg costs of each oil, then divide the total cost by the total mass of the mixture.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you determine the concentration of a sugar solution after mixing two sugar percentages?",{"text":117,"@type":113},"Compute the total amount of sugar contributed by each solution (volume × percent), add them, and divide by the total mixture volume.",{"name":119,"@type":110,"acceptedAnswer":120},"What approach works for soil or clay percentage mixture problems?",{"text":121,"@type":113},"Let the amounts of each soil type be variables, compute the total clay content using the given clay percentages, set it equal to the required clay amount, and solve for each soil quantity.","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},522716,1791534383,{"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":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24,"preview_page_count":4},962084931830,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 2  \nMixture Word Problems  \n1) 7 kg of soybean oil which costs $4/kg were combined with 14 kg of canola oil which costs $1/kg. Find the cost per kg of the mixture.  \n3) A sugar solution was made by mixing 7 ml of a 50% sugar solution and 3 ml of a 80% sugar solution. Find the concentration of the new mixture.  \n5) How many gal. of a 65% saline solution must be mixed with 8 gal. of pure water to make a 25% solution?  \n7) Heather wants to make a 36% acid solution. She has already poured 3 fl. oz. of a 72% acid solution into a beaker. How many fl. oz. of a 9% acid solution must she add to this to create the desired mixture?  \nName  Date  Period   \n2) A sugar solution was made by mixing 8 qt. of a 2% sugar solution and 6 qt. of a 51% sugar solution. Find the concentration of the new mixture.  \n4) For her birthday party Kathryn mixed together 3 gal. of Brand A fruit punch and 6 gal. of Brand B. Brand A contains 17% fruit juice and Brand B contains 26% fruit juice. What percent of the mixture is fruit juice?  \n6) 1 oz of walnuts were mixed with 4 oz of peanuts which cost $4/oz to make mixed nuts which cost $5/oz. What is the price per oz of walnuts?  \n8) Kali mixed together 9 gal. of Brand A fruit drink and 6 gal. of Brand B fruit drink which contains 5% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 11% fruit juice.  \n9) To build the garden of your dreams you need 10 ft³ of soil containing 17% clay. You have two types of soil you can combine to achieve this: soil with 35% clay and soil with 10% clay. How much of each soil should you use?  \n11) Kristin wants to make 6 gal. of a 34% alcohol solution by mixing together a 24% alcohol solution and a 64% alcohol solution. How much of each solution must she use?  \n10) Bronze which costs $9.10/kg is made by combining copper which costs $8.90/kg with tin which costs $9.50/kg. Find the number of kg of copper and tin required to make 15.3 kg of bronze.  \n12) Bronze which costs $7.05/kg is made by combining copper which costs $6.20/kg with tin which costs $8.70/kg. Find the number of kg of copper and tin required to make 5 kg of bronze.  \nKuta Software-Infinite Algebra 2  \nMixture Word Problems  \n1) 7 kg of soybean oil which costs $4/kg were combined with 14 kg of canola oil which costs $1/kg. Find the cost per kg of the mixture.  \n$2/kg  \n3) A sugar solution was made by mixing 7 ml of a 50% sugar solution and 3 ml of a 80% sugar solution. Find the concentration of the new mixture.  \n59%  \n5) How many gal. of a 65% saline solution must be mixed with 8 gal. of pure water to make a 25% solution?  \n5 gal.  \n7) Heather wants to make a 36% acid solution. She has already poured 3 fl. oz. of a 72% acid solution into a beaker. How many fl. oz. of a 9% acid solution must she add to this to create the desired mixture?  \n4 fl. oz.  \nName  Date  Period   \n2) A sugar solution was made by mixing 8 qt. of a 2% sugar solution and 6 qt. of a 51% sugar solution. Find the concentration of the new mixture.  \n23%  \n4) For her birthday party Kathryn mixed together 3 gal. of Brand A fruit punch and 6  \ngal. of Brand B. Brand A contains 17% fruit juice and Brand B contains 26% fruit juice.  \nWhat percent of the mixture is fruit juice?  \n23%  \n6) 1 oz of walnuts were mixed with 4 oz of peanuts which cost $4/oz to make mixed nuts which cost $5/oz. What is the price per oz of walnuts?  \n$9/oz  \n8) Kali mixed together 9 gal. of Brand A fruit drink and 6 gal. of Brand B fruit drink which contains 5% fruit juice. Find the percent of fruit juice in Brand A if the mixture contained 11% fruit juice.  \n15%  \n9) To build the garden of your dreams you need 10 ft³ of soil containing 17% clay. You have two types of soil you can combine to achieve this: soil with 35% clay and soil with 10% clay. How much of each soil should you use?  \n2.8 ft³ with 35% clay, 7.2 ft³ with 10% clay  \n11) Kristin wants to make 6 gal. of a 34% alcohol solution by mixing together a 24% alco","cbCaijjkUirJRsD0","https://ap.wps.com/l/cbCaijjkUirJRsD0","pdf",22374,"English","# Mixture Word Problems\n## Concentration and dilution\n## Cost and mixture pricing","[{\"question\":\"How do you find the cost per kg when mixing oils with different prices?\",\"answer\":\"Use weighted averaging based on the given quantities and per-kg costs of each oil, then divide the total cost by the total mass of the mixture.\"},{\"question\":\"How do you determine the concentration of a sugar solution after mixing two sugar percentages?\",\"answer\":\"Compute the total amount of sugar contributed by each solution (volume × percent), add them, and divide by the total mixture volume.\"},{\"question\":\"What approach works for soil or clay percentage mixture problems?\",\"answer\":\"Let the amounts of each soil type be variables, compute the total clay content using the given clay percentages, set it equal to the required clay amount, and solve for each soil quantity.\"}]","Mixture Word Problems - Infinitely Algebra 2 | PDF",1791426089]