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Name:_________________________________Date:_______________________RawScore:_______Grade:____BlueLevelHomework(A)5.3-ProportionsPartI:ShowallworkonattachedsheetstepbystepPartII:ShowallworkonattachedsheetstepbystepPracticeProblems:1.RatioProblem.Theratiooftwointegersis13:6.Thesmallerintegeris54.Findthelargerinteger.2.Theratiooftwointegersis9:7.Theirsumis1024.Findthetwointegers.3.GrandchildrenProblem.MaeBerryhas18grandchildrenonherson’ssideand12grandchildrenonherdaughter’sside.a.Whatistheratioofthesenumbers,inlowestterms?b.TheelderBerrydivides7200acresoflandintotwotracts,whoseareasareinthisratio.Howmanyacresareineachtract?4.Price-to-EarningsRatioProblem.Thestockofacertaincompanyispricedat$18.20pershare.Thecompany’searningsforoneyearamountedto$2.80pershare.a.Findtheprice-to-earningsratio.Expressitbothasaratiooftwointegersinlowesttermsandasaratio__:1(asitappearsinnewspapers),wherethesecondnumberis1andthefirstnumberisnotnecessarilyaninteger.b.Ifthecompanyearned$3,360,000inthatyear,whatwasthetotalvalueofitsstock?5.BasketballTicketsProblem.Youarecalledupontoestimatehowmanyofthe12,000peoplewhoattendaprofessionalbasketballgamearewomen.Fromasmallsample,youdeterminethattheratioofmentowomenisabout3:2.Abouthowmanyofthepeopleattendingarewomen?6.MilkStockProblem.Supposethatyouworkinasupermarket.Themilkdisplaycasecanholdatotalof160one-galloncontainersofmilk.Salesfiguresshowthatthecheapergenericmilkoutsellsthenationalbrandmilkby7:3.Howmanycontainersofeachkindshouldyouputinthecaseinordertohavethisratio?7.“Average”American.IrecentlyreadanarticlewherethewriterstatedthatBillGatesisworthabout$38,000,000,000!Thisisaprettydifficultnumbertoreallyunderstand,sotohelpusout,thewritersaidthatifBillGatesbuysa$250,000Lamborghinisportscaritissimilartothe“average”Americanspending65centsforapackofgum.Howmuchisthe“average”Americanworth?8.Tomran1.5kmin7.5minutes.a.Writeaproportiontodeterminehowlongitwilltakehimtoruna5kmraceatthissamerate.