Fundamental Operations On Fractions, Decimals And, Percents

INDEPENDENTLEARNINGSESSIONNO.1FUNDAMENT ALOPERA TIONSONFRACTIONS,DECIMALSAND,PERCENTSAnswerthefollowingquestions.Showyoursolutions.1.Forty-EightABMStudentswereincludedintheentranceexamforcollege.Three-fourthsofthemdecidetotakeAccountancy .IfoftheremainingstudentsoptedforEntrepreneurship,andtherestwilltakemanagementcoursesincollege,howmanystudentswilltakeeachcourse?=0.75x48=36StudenttakeAccountancy=0.25x48=12StudentoptedforEntrepreneurship36+12=48soIconclude0Studenttakemanagement2.LoureceivedagrosscompensationincomeofP48,776.17lastmonth.Ifsheworkedfor25daysthismonth,howmuchisheraveragedailyrate?48,776.17/25=1,951.05isheraveragedailyrate3.Y ouareplanningtobuyacondominiumunitworthP4,500.Howmuchshouldyoupayasadownpaymentifyouarerequiredtopay30%ofthetotalcontractpriceoftheunit.30%=0.3x4,500=1,350isthedownpayment4.AmotorcyclewassoldforP80,000.Ifthesalesperson scommissionwas7%,findtheamountoftheperson scommission?7%=0.07x80,000=5,600issalesperson scommission5.Thesalesdiscountis6%.IfthesalesdiscountonamobilephonewasP1,350,findthepriceofthemobilephone.B=P/RB=1,350/6%or1,350/0.06=22,500isthepriceofthemobilephone6.Y ougot20itemscorrectlyina50-itemtest.Whatpartofthetestdidyouanswercorrectly?Whatpartofthetestdidyounotanswercorrectly?20/50=0.4=40%ofthetestanswercorrectly30/50=0.6=60%ofthetestdidyounotanswercorrectly7.Y ouandyourbusinesspartnerprovidedand1/3ofthetotalcapitalneededtoputupabusiness.Theremainingcapitalthatyouneededwasgivenbyabankthroughaloan.Howmuchofthetotalcapitalcamefromafinancingloan?=50%50%+33.33%=83.33-100=16.671/3=33.33%16.67or1/6ofcapitalcamefromafinancingloan8.LucasreceivedhismonthlyallowanceamountingtoP40,000.Ifheallocatesofitforhisworkallowanceandoftheremainingmoneyfortransportation,howmuchishistransportationallowance?=0.25x40,000=10,000ishistransportationallowance9.Howmuchisthetake-homepayofMs.Y uifhertotalearningsisP63,316.63andhertotaldeductionsamounttoP47,610.37?63,316.63-47,610.37=15,706.2615,706.26/63,316.63=0.248059001x100=24.81%isthetake-homepayofMs.Y u10.BasedontheApril2018genderstatistics,thePhilippinepopulationis104,921,400.If52,927,400aremale,whatpercentofthepopulationisfemale?104,921,400-52,927,400=51,994,000female51,994,000/104,921,400=0.495551908x100=49.55%ofthepopulationisfemale1 1.LastAugust,theMartinfamilypaidP75forthehomeownersassociationfee.InFebruary ,theypaidP54.Whatisthepercentofdecrease?75-54=2121/75=0.28=28%isthepercentofdecrease12.IftheregularpriceofthepictureframeisP25,andthepricetagismarked30%of f,findthesaleprice.30/100=0.3x25=7.5isthesaleprice13.Y oubought3boxesofregularpizza,whichareslicedinto8pieceseach,foryourbasketballteam.Aftereatingwithyourteammatestherewas1sliceleftinthefirstbox,3slicesinthesecondbox,and2slicesinthethirdbox.Ifyoudecidetoputtheremainingslicesofpizzainonebox,whatpartofthewholepizzahaveyoucreated?1/8+3/8+2/8=6/8or3/414.Howmanyfloortiles(30cmx30cm)doyouneedforanareameasuring6metersand5meters?15.Thenumberofemployedpersonswasplacedat41,755,000inJanuary2018basedonthePhilippineStatisticsAuthority .Thisfigureindicatesanincreaseof6.12%.Howmanypersonswereemployedinthesameperiodlastyear?41,755,000x6.12%or41,755,000x0.0612=2,555,40616.Aqualitycontrolinspectorfound1.2%of2,500mobilephonesinspectedweredefective.Howmanymobilephonesinspectedwerenotdefective?1.2%=0.012x2,500=30mobilephonesinspectedwerenotdefective17.Arailroadinspectorinspects360railcars.If95%passed,howmanycarspassedtheinspection?95/100=0.95x360=342carspassedtheinspection18.Ashopsells140chocolate,vanilla,andstrawberryicecreams.41%oftheicecreamsoldarevanilla,and24%arestrawberry .Howmanychocolateicecreamssold?41%=0.41x140=57.4vanillaicecreamsold24%=0.24x140=33.6strawberryicecreamsold91-140=49chocolateicecreamssold(35%)19.Amanufacturerofananti-inflammatorydrugclaimsthatthedrugwillbeef fectivefor6hours.Anindependenttestingservicedeterminedthatthedrugwasef fectiveforonly80%ofthelengthoftimeclaimedbythemanufacturer .Findthelengthoftimethedrugwillbeef fectiveasdeterminedbythetestingservice.6/80or6/0.8=7.5lengthoftime20.Aninstructorannouncedthat25%ofhisstudentsreceivedanAonthelasttest.If8studentsreceivedanA,howmanystudentstookthetest?8/25%or8/0.25=32studentstookthetest