MixtureProblems
1.Mrs.Boydhasadeskfullofquartersandnickels.Ifshehasatotalof25coinswith
atotalfacevalueof$2.25,howmanyofthecoinsarenickels?
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2.Andyhas24coinsmadeupofquartersandhalfdollars,andtheirtotalvalueis$
10.75.Howmanyquartersdoeshehave?
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3.Asumofmoneyamountingto$5.65consistsofdimesandquarters.Ifthereare
28coinsinall,howmanyarequarters?
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4.Awomanmadeadepositof$240.Ifherdepositconsistedof96bills,someofthem
one-dollarbillsandtherestbeingfive-dollarbills,howmanyone-dollarbillsdid
shedeposit?
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5.Awomanmadeadepositof$298.Ifherdepositconsistedof98bills,someofthem
one-dollarbillsandtherestbeingfive-dollarbills,howmanyone-dollarbillsdid
shedeposit?
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6.Awomanmadeadepositof$339.Ifherdepositconsistedof99bills,someofthem
one-dollarbillsandtherestbeingfive-dollarbills,howmanyone-dollarbillsdid
shedeposit?
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7.RonandKathyareticket-sellersattheirclassplay,Ronhandlingstudentticketsthat
sell for $ 3.00 each and Kathy selling adult tickets for $ 6.50 each. If their total
incomefor27ticketswas$105.50,howmanydidRonsell?
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8.RonandKathyareticket-sellersattheirclassplay,Ronhandlingstudentticketsthat
sell for $ 3.00 each and Kathy selling adult tickets for $ 5.50 each. If their total
incomefor24ticketswas$99.50,howmanydidRonsell?
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9.Waltmadeanextra$7000lastyearfromapart-timejob.Heinvestedpartofthe
moneyat7%andtherestat8%.Hemadeatotalof$530ininterest.Howmuch
wasinvestedat
8%?
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10.Waltmadeanextra$8000lastyearfromapart-timejob.Heinvestedpartofthe
moneyat10%andtherestat7%.Hemadeatotalof$710ininterest.Howmuch
wasinvested
at7%?
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11.TimandJudymixtwokindsoffeedforpedigreeddogs.Theywishtomake29
poundsoffeedworth$0.39perpoundbymixingonekindworth$0.25perpound
withanotherkindworth$0.49perpound.Howmanypoundsofthecheaperkind
shouldtheyuse?
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12.TimandJudymixtwokindsoffeedforpedigreeddogs.Theywishtomake21
poundsoffeedworth$0.60perpoundbymixingonekindworth$0.48perpound
with another worth $0.64 per pound. How many pounds of the cheaper kind
shouldtheyuseinthe
mix?
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13.Ellenwishestomixcandyworth$1.10perpoundwithcandyworth$2.57per
poundtoform28poundsofamixtureworth$2.04perpound.Howmanypounds
ofthe
moreexpensivecandyshouldsheuse?
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14.Ellenwishestomixcandyworth$2.43perpoundwithcandyworth$3.92per
poundtoform32poundsofamixtureworth$2.99perpound.Howmanypounds
ofthe
moreexpensivecandyshouldsheuse?
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15.Amerchanthascoffeeworth$40apoundthatshewishestomixwith40pounds
ofcoffeeworth$90apoundtogetamixturethatcanbesoldfor$50apound.
Howmanypoundsofthe$40coffeeshouldbeused?
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16.Amerchanthascoffeeworth$20apoundthatshewishestomixwith50pounds
ofcoffeeworth$50apoundtogetamixturethatcanbesoldfor$30apound.
Howmanypoundsofthe$20coffeeshouldbeused?
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17.Acontractormixesconcretefrombagsofpre-mixforsmalljobs.Howmanybags
with7%cementshouldhemixwith12bagsof14.5%cementtoproduceamix
containing
12%cement?
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18.Acontractormixesconcretefrombagsofpre-mixforsmalljobs.Howmanybags
with3%cementshouldhemixwith12bagsof15%cementtoproduceamix
containing11%cement?
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19.AnneandNancyuseametalalloythatis21.2%coppertomakejewelry.How
manyouncesofa20%alloymustbemixedwitha26%alloytoform100ounces
ofthedesired
alloy?
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20)AnneandNancyuseametalalloythatis17.8%coppertomakejewelry.How
manyouncesofa13%alloymustbemixedwitha29%alloytoform90ouncesof
thedesired
alloy?
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21.Howmanylitersofa30%alcoholsolutionmustbemixedwith90litersofa60%
solutiontogeta40%solution?
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22.Howmanylitersofa30%alcoholsolutionmustbemixedwith60litersofan80
% solutiontogeta50%solution?
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23.Inachemistryclass,9litersofa4%silveriodidesolutionmustbemixedwitha
10%solutiontogeta6%solution.Howmanylitersofthe10%solutionareneeded?
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24.Inachemistryclass,3litersofa4%silveriodidesolutionmustbemixedwitha
10%solutiontogeta6%solution.Howmanylitersofthe10%solutionareneeded?
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AnswerKey
1)20nickels
2)5quarters
3)19quarters
4)60one-dollars
5)48one-dollars 6)39one-dollars
7)20tickets
8)13tickets
9)$4000 10)$3000
11)12pounds
12)5pounds
13)18pounds
14)12pounds
15)160lb.
16)100lb.
17)6bags 18)6bags
19)80ounces
20)63ounces
21)180L 22)90L
23)4.5L 24)1.5L