In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps.The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps.If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?
1.Vaccinated against rubella is twice the number who have been vaccinated against mumps. 2.Vaccinated against both is twice the number who have been vaccinated only against mumps. 3.5,000 have been vaccinated against both
r=rubella, m=mumps,ro=rubella only, mo=mumps only
Q: How many have been vaccinated only against rubella(ro)?
ro=r-rm r=2m m=mo+rm rm=2mo rm=5000
So, mo=2500 m=mo+rm=2500+5000=7500 r=2m=2(7500)=15000 ro=r-rm=15000-5000=10000