[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-361516-105":59,"doc-detail-361516-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-and-solving-inequalities-word-problems-b-the-animal-shelter","Writing and Solving Inequalities Word Problems (B) - The Animal Shelter","","Worksheets guide students to write and solve inequality equations for real-world animal shelter situations. Students model requirements for volunteers, animal capacity, fundraising goals, dog food carrying limits, daily cat food totals, maximum weekly earnings for staff, additional dog enrollment limits, and a challenge problem using a weekly budget. 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An animal shelter needs at least 20 volunteers for their weekend event.  \nSo far, 13 have signed up. Write and solve an inequality for the additional volunteers v still needed.  \nInequality:    \nSolution:    \nWhat this means:    \n2. The shelter can house at most 60 animals at one time. Currently there are 38 animals. Write and solve an inequality for how many additional animals a the shelter can accept.  \nInequality:    \nSolution:    \nWhat this means:    \n3. A fundraiser needs to raise more than $500. The shelter has already raised $318. Write and solve an inequality for the additional amount d still needed.  \nInequality:    \nSolution:    \nWhat this means:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n4. Dog food bags weigh 30 pounds each. A volunteer can carry fewer than 90 pounds at once. Write and solve an inequality for the number of bags b the volunteer can carry.  \nInequality:    \nSolution:    \nWhat this means:    \n5. Each cat needs at least 2 cups of food per day. The shelter has 8 cats.  \nWrite and solve an inequality for the total cups of food f needed each day.  \nInequality:    \nSolution:    \nWhat this means:    \n6. A shelter worker earns $13 per hour and can work at most 35 hours this week. Write and solve an inequality for her maximum earnings e.  \nInequality:    \nSolution:    \nWhat this means:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n7. A dog training class has fewer than 12 spots. If 5 dogs are already enrolled, write and solve an inequality for the number of additional dogs d that can still join.  \nInequality:    \nSolution:  \n__________________________  \nWhat this means:    \nChallenge Problem  \n8. The shelter spends $6 per day on food for each dog and has a weekly budget of at most $252. Write and solve an inequality for the maximum number of dogs d the shelter can feed for one week (7 days) .  \nInequality:    \nShow your work:    \nSolution:    \nWhat this means:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) 1. ) 13 + v ≥ 20 → Solution: v ≥ 7 | At least 7 more volunteers are needed.  \n2.) 2. ) 38 + a ≤ 60 → Solution: a ≤ 22 | The shelter can accept at most 22 more animals.  \n3.) 3. ) 318 + d > 500 → Solution: d > 182 | The shelter must raise more than $182 more.  \n4.) 4. ) 30b \u003C 90 → Solution: b \u003C 3 | The volunteer can carry fewer than 3 bags at a time.  \n5.) 5. ) f ≥ 2 × 8 → Solution: f ≥ 16 | The shelter needs at least 16 cups of food per day.  \n6.) 6. ) e ≤ 13 × 35 → Solution: e ≤ $455 | She can earn at most $455 this week.  \n7.) 7. ) 5 + d \u003C 12 → Solution: d \u003C 7 | Fewer than 7 more dogs can join.  \n8.) 6 × 7 × d ≤ 252 → Solution: d ≤ 6 | The shelter can feed at most 6 dogs on this budget  \n.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaioCjWhtLIkdM","https://ap.wps.com/l/cbCaioCjWhtLIkdM","pdf",774505,"English","# Writing and Solving Inequalities Word Problems (B)\n## The Animal Shelter\n## Answer Key","[{\"question\":\"What does each problem require students to do?\",\"answer\":\"For each problem, students write an inequality, solve it, and interpret the solution in context.\"},{\"question\":\"How is the inequality for the number of additional volunteers determined in problem 1?\",\"answer\":\"It compares the current number of volunteers (13) plus v to the at-least requirement of 20, then solves for v.\"},{\"question\":\"What is the setup for the challenge problem about feeding dogs on a weekly budget?\",\"answer\":\"It uses $6 per dog per day over 7 days, forming an inequality 6 × 7 × d ≤ 252, then solves for the maximum number of dogs d.\"}]","Writing and Solving Inequalities Word Problems (B) - The Animal Shelter | PDF",1790144661]