They will be in Australia for 6 weeks in Japan for 12 weeks and in Sweden for 2 weeks
Step-by-step explanation:
The given is:
- A rock group plans to travel for a total of 20 weeks making three stops
- They will be in Japan for six more weeks than they will be in Australia
- Their sales Sweden will be four weeks shorter than that in Australia
We need to find how many weeks they will be in each country
Assume that they will be in Australia for x weeks
∵ They will stay in Australia for x weeks
∵ They will be in Japan for six more weeks than they will be in Australia
- Add x by 6 to find the number of weeks in Japan
∴ They will be in Japan for x + 6 weeks
∵ They will be in Sweden for four weeks shorten than that in Australia
- Subtract 4 from x to find the number of weeks in Sweden
∴ They will be in Sweden for x - 4 weeks
∵ They travel for a total 20 weeks
- Add the number of weeks in each country and equate the sum by 20
∴ x + x + 6 + x - 4 = 20
- Add the like terms in the left hand side
∴ 3x + 2 = 20
- Subtract 2 from both sides
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
∵ x represents the number of weeks in Australia
∴ They will spend 6 weeks in Australia
∵ x + 6 represents the number of weeks in Japan
∴ The number of weeks in Japan = 6 + 6 = 12
∴ They will spend 12 weeks in Japan
∵ x - 4 represents the number of weeks in Sweden
∴ The number of weeks in Japan = 6 - 4 = 2
∴ They will spend 2 weeks in Sweden
They will be in Australia for 6 weeks in Japan for 12 weeks and in Sweden for 2 weeks
Learn more:
You can learn more about solving the equation in brainly.com/question/3965451
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