Question

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?

Answer 1

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