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?

Question

Rene Dunn

Mathematics

6 March, 15:10

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?

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Answers (1)

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Andrew Cobb · 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