SOLUTION: A rock group plans to travel for a total of 32 weeks, making three concert stops. They will be in Japan for 5 more weeks than they will be in Australia. Their stay in Sweden will b

Algebra ->  Human-and-algebraic-language -> SOLUTION: A rock group plans to travel for a total of 32 weeks, making three concert stops. They will be in Japan for 5 more weeks than they will be in Australia. Their stay in Sweden will b      Log On


   

Question 1096442: A rock group plans to travel for a total of 32 weeks, making three concert stops. They will be in Japan for 5 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?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of weeks in Australia
+x+%2B+5+ = number of weeks in Japan
+x+-+3+ = number of weeks in Sweden
----------------------------------------
+x+%2B+x+%2B+5+%2B+x+-+3+=+32+
+3x+%2B+2+=+32+
+3x+=+30+
+x+=+10+
Australia - 10 wks
Japan - 15 wks
Sweden 7 wks
-------------------
check:
+10+%2B+15+%2B+7+=+32+
+32+=+32+
OK