Answer:
Justice lived in Germany for 15 months and he lived in Holland for 9 months.
Step-by-step explanation:
1. You must make a system of equations:
[tex]\left \{ {{x+y=24} \atop {120x+220y=3780}} \right.[/tex]
Where [tex]x[/tex] is the number on months he lived in Germany and [tex]y[/tex] is the number on months he lived in Holland.
2. You can solve this system of equations by using the Elimination Method. If you multiply the first equation by -120, you can cancel the variable [tex]x[/tex] when you add both equations, and then you can calculate [tex]y[/tex]. When you obtain the value of [tex]y[/tex], you can substitute it into one of the original equations and solve for [tex]x[/tex]. Then:
[tex]\left \{ {{-120x-120=-2880} \atop {120x+220y=3780}} \right.[/tex]
[tex]100y=900\\y=9[/tex]
[tex]x+y=24\\x+9=24\\x=15[/tex]
