[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359802-105":59,"doc-detail-359802-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","ratio-and-proportion-word-problems-a-solve-the-problems","Ratio and Proportion Word Problems (A) - Solve the problems","","A classroom set of ratio and proportion word problems focuses on comparing quantities, forming proportions, and using cross multiplication to solve for unknowns. Students practice writing ratios in simplest form, answering unit-rate and “wins per games” style questions, and applying proportional reasoning to costs, laps completed, and recipe scaling. 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Show all of your work and circle your answer.  \nRemember: A ratio compares two quantities. A proportion is an equation showing two ratios are equal. To solve a proportion: set up a/b = c/d, then cross multiply and solve. Unit rate: divide to find the amount per one unit.  \n1. In a class of 30 students, 18 are in the school band and 12 are not.  \nWrite the ratio of band members to non-band members in simplest form. Write it three ways.  \nShow your work:  \n2. A basketball team wins 4 out of every 5 games they play. If they play 35 games this season, how many games do they win?  \nShow your work:  \n3. A school supply store sells 3 notebooks for $4.50.  \nAt this same rate, how much will 8 notebooks cost?  \nShow your work:  \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. A runner completes 5 laps around a track in 8 minutes. At this rate, how many laps will she complete in 24 minutes?  \nShow your work:  \n5. A school garden has a ratio of tomato plants to pepper plants of 3:5 . If there are 24 tomato plants, how many pepper plants are there?  \nShow your work:  \n6. A sports drink recipe calls for 2 scoops of powder for every 3 cups of water. A coach needs to make  \nenough for 18 cups of water. How many scoops does he need?  \nShow your work  \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 soccer team scored 21 goals and allowed 9 goals this season. Write the ratio of goals scored to goals allowed in simplest form. Then explain what this ratio means in context.  \nShow your work:  \nChallenge Problem  \n8. At a school fair, the ratio of students to teachers is 8:1 and the ratio of boys to girls is 3:2 . If there are 400 students at the fair, how many teachers are there? How many of the students are girls?  \nShow your work:  \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. ) Answer: 3:2 (or 3/2 or 3 to 2) Steps: 18:12 → GCF(18,12) = 6 → 18÷6 : 12÷6 = 3:2  \n2.) 2. ) Answer: 28 games Steps: 4/5 = x/35 → 35 ÷ 5 = 7 → multiply both by 7 → 4 × 7 = 28 wins  \n3.) 3. ) Answer: $12.00 Steps: 3/4 .50 = 8/x → 3x = 4.50 × 8 = 36 → x = 36 ÷ 3 = $12.00  \n4.) 4. ) Answer: 15 laps Steps: Unit rate: 5 ÷ 8 = 0.625 laps per minute → 24 × 0.625 = 15 laps → OR: 5/8 = x/24 → x = 15  \n5.) 5. ) Answer: 40 pepper plants Steps: 3/5 = 24/x → 3x = 24 × 5 = 120 → x = 120 ÷ 3 = 40  \n6.) 6. ) Answer: 12 scoops Steps: 2/3 = x/18 → 18 ÷ 3 = 6 → multiply both by 6 → 2 × 6 = 12 scoops  \n7.) 7. ) Answer: 7:3—For every 7 goals scored, the team allowed 3. Steps: 21:9 → GCF(21,9) = 3 → 21÷3 : 9÷3 = 7:3 → For every 7 goals the team scored, they allowed 3.  \n8.) 8. ) Answer: 50 teachers; 160 girls Steps: Teachers: 8:1 ratio → 400 ÷ 8 = 50 teachers → Boys to girls 3:2 → 3+2 = 5 parts → 400 ÷ 5 = 80 per part → Girls: 2 × 80 = 160 girls  \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)","cbCaif1zWVPUQUBt","https://ap.wps.com/l/cbCaif1zWVPUQUBt","pdf",1910617,"English","# Directions\n# Problems\n## Practice Problems\n## Challenge Problem\n# Answer Key","[{\"question\":\"How do you solve a proportion in these problems?\",\"answer\":\"Set up the proportion as a/b = c/d, then cross multiply and solve for the unknown.\"},{\"question\":\"What does unit rate mean and how is it used here?\",\"answer\":\"Unit rate divides to find the amount per one unit. It’s used, for example, to determine laps per minute or other per-unit quantities.\"},{\"question\":\"How do you write ratios in simplest form?\",\"answer\":\"Find the greatest common factor (GCF) of the two quantities, divide both by the GCF, and rewrite the ratio.\"}]","Ratio and Proportion Word Problems (A) - Solve the problems | PDF",1790137864]