SOLUTION: A rock group plans to travel for a total of 37 weeks, making three concert stops. They will be in Japan for 4 more weeks than they will be in Australia. Their stay in Sweden will b

Question 952145: A rock group plans to travel for a total of 37 weeks, making three concert stops. They will be in Japan for 4 more weeks than they will be in Australia. Their stay in Sweden will be 3 weeks shorter than that in Australia. How many weeks will they be in each country?
4+x
3-x
4+x+3-x=37????
i am very confused
Found 2 solutions by macston, MathLover1:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
A=stay in Australia; J=stay in Japan=A+4wks; S=stay in Sweden=A-3wks
A+J+S=37 weeks Substitute for J and S, solve for A.
A+(A+4wks)+(A-3wks)=37wks
3A+1wk=37wks Subtract 1 wk from each side.
3A=36wks Divide each side by 3.
A=12wks ANSWER 1: They will spend 12 weeks in Australia.
J=A+4wks=12wks+4wks=16wks ANSWER 2: They will spend 16 weeks in Japan.
S=A-3wks=12wks-3wks=9wks ANSWER 3: They will spend 9 weeks in Sweden
CHECK:
A+J+S=37 weeks
12 weeks+16 weeks+9weeks=37 weeks
37 weeks=37 weeks
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let the number of weeks in Australia be
if they stay in Japan for more weeks than they will be in Australia, then Japan will be
if their stay in Sweden will be weeks than that in Australia, then their stay in Sweden will be
plug it in
..........solve for

->the number of weeks in Australia

->the number of weeks in Japan

->the number of weeks in Sweden

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