VTNE math Problems questions with 100% correct answers

VTNE math Problems questions
with 100% correct answers
AA20-
kgApatientAisAcurrentlyAreceivingA52Aml/hrAofALactatedARinger'sASolution.ATheA
clinicianAhasArequestedAthatA2Amg/kg/dayAofAmetoclopramideAbeAaddedAtoAth
eAbag.AMetoclopramideAisAavailableAasAaA5Amg/mlAsolution.AHowAmanyAmillil
itersAdoAyouAneedAtoAaddAtoAaA1AliterAbag?A-
AAnswerAThisAisAdefinitelyAaAmoreAcomplicatedAcalculationAquestion,AbutAwhen
AbrokenAdownAitAisAnotAinsurmountable.A


AA20-
kgApatientAwillAneedA40Amg/dayAofAmetoclopramideA(20AkgAxA2Amg/kg/day)
A


SinceAtheAfluidAisAbeingAadministeredAatAanAhourlyArate,AweAneedAtoAfigureAo
utAhowAmuchAmetoclopramideAweAareAadministeringAperAhour.A


40Amg/dayA/A(24Ahr)A=A1.7Amg/hrA


ToAdetermineAhowAmuchAvolumeAofAmetoclopramideAisAneeded,AtheAfollowingA
mathAisAperformed:A


1.7Amg/hrA/A(52Aml/hr)AxA(1000Aml)=A32.6AmgA(NoticeAhowAtheAunitsAcance
lAout.)A


32.6AmgA/A(5Amg/ml)A=A6.5Aml


WhatAquantityAofAdrugAisAfoundAinA200AmLsAofAaA10%Asolution?A-
AAnswerA20Agrams


AA10%AsolutionAisAequalAtoA100Amg/mL.ATheAeasiestAwayAtoArememberAthisA
conversionAisAtoAaddAaAzeroAtoAtheApercentage.A(10%=A100Amg/mL,A15%A=
A150Amg/mL,Aetc.)A

,IfA1AmLAisAequalAtoA100Amg,AthenAtoAfindAoutAtheAquantityAofAdrugAinA200A
mLs,AmultiplyA100AmgAXA200A=A20,000Amg.AThereAareA20,000AmgAinA200A
mLsAofAaA10%Asolution.A


ButAnoneAofAtheAchoicesAareA20,000Amg.AWeAneedAtoAgoAoneAstepAfurtherAan
dAdetermineAhowAmanyAgramsAthisAis.A


1AgramAisAequalAtoA1,000Amg.AWeAneedAtoAdivideAtheAmilligramsAbyA1,000.
A
So,A20,000mgA/A1,000A=A20Agrams.


YouAwantAtoAgiveAaApre-
surgicalAdoseAofAantibioticsAtoAyourApatient.AYouAhaveAaA1AgramAvialAofAcefo
xitinAthatAisAreconstitutedAwithA5AmlsAofAsterileAwater.AYouAwantAtoAgiveAaA
20Amg/kgAdoseAtoAaA25AkgAdog.AHowAmanyAmlsAdoAyouAgive?A-
AAnswerA2.5mL


Explanation
TheAresultingAconcentrationAofAtheAcefoxitinAsolutionAisA1gm/5mlAorA200mg/m
l.A


TheAdesiredAdoseAisA20mg/kgAxA25AkgA=A500AmgA


200Amg/mlAxA____Aml=A500Amg,A


ThereforeAtheAAnswerAisA2.5Aml


AA10-year-
oldAmaleAneuteredAPugApresentsAinArespiratoryAdistressAandAappearsAtoAbeAh
avingAanAallergicAreaction.AHeAhasAhivesAandAaAswollenAface.ATheAdoctorAasks
AyouAtoAgetAepinephrineAreadyAatAaAdoseAofA0.02Amg/kg.AHeAweighsA9Akg.A
WhenAyouAgetAtheAbottleAofAepinephrineAfromAtheArefrigeratorAitAsaysAitAisAa

, A1:1000Asolution.AHowAmanyAmLsAwillAyouAdrawAupAforAthisApatient?A-
AAnswerAAnswer-A0.18AmLA


Explanation
FirstAyouAhaveAtoAunderstandAwhatAaA1:1000AconcentrationAmeans.AAA1:1000
AsolutionAisAtheAsameAasAsayingA1AgramAinA1,000AmL.AAndAweAknowAthatA1
AgramAisAequalAtoA1,000Amg.ASoAitAwouldAbeA1,000Amg:A1000AmLAwhichAis
AtheAsameAasA1Amg/mLA(whenAtheAthousandsAcancelAout).A


NextAyouAtakeAtheApatient'sAweightAinAkgAXAtheAdose:A9Akg/dogAXA0.02Amg
/kgA(theAkgAcancelAout)A=A0.18Amg/dogA


NowAdivideAtheAdoseAbyAtheAconcentration:A0.18Amg/dogAxA1mg/mLA(mgAcanc
elAout)A=A0.18AmL/dog


AA38-
kgAGreatADaneAisArecoveringAfromAGastricADilatationAVolvulusAsurgery.ATheAdo
ctorAwouldAlikeAtoAsendAhimAhomeAonATramadol.ATheAdoctorArequestedAthatAa
AprescriptionAbeAfilledAoutAforA5AdaysAatA3Amg/kgAorallyAthreeAtimesAperAda
y.AHowAmanyApillsAshouldAyouAsendAhome?


TramadolAisAavailableAinA50AmgAtablets.ARoundAtoAtheAnearestAwholeAnumber
.A-AAnswerA30Atablets


theAcorrectAAnswerAisA30Atablets:


38AkgAxA3Amg/kgA=A114Amg


114AmgA/A50AmgA=A2.28A(RoundingAtoAtheAnearestAwholeAnumberAwouldAbe
A2Atablets)


IfAgettingA2AtabletsAperAdose,AthenA6AtabletsAperAdayAareAneeded.AFiveAdays'
AtreatmentAwouldAbeA30Atablets.