A rock group plans to travel for a total of 38 weeks, making three concert stops. They will be in Japan for 6 more weeks than they will be in Australia. Their stay in Sweden will be 4 weeks shorter than that in Australia. How many weeks will they be in each country?
38 weeks in all 3 stops Australia= x weeks Japan= x+4 weeks Sweden= x-2 weeks add all: x+(x+4)+(x-2)=38 x+x+4+x-2=38 3x+2=38 3x=38-2 3x=36 x=36/3 so in Australia x=12 weeks and in Japan 12=+4=16 weeks and in Sweden 12-2=10 weeks
