Answer:
Sweden 10 weeks
Australia 12 weeks
Japan 16 weeks
Step-by-step explanation:
First establish some variables:
x will be our time in Australia
x - 2 will be our time in Sweden
x + 4 will be our time in Japan
Now we can build our equation:
x + x - 2 + x + 4 = 38
Now we can gather like terms:
3x + 2 = 38
Now subtract two from both sides of the equation
3x + 2 - 2 = 38 - 2
3x = 36
Now we divide both sides of the equation by 3 to get our answer:
[tex]\frac{3x}{3} = \frac{36}{3}[/tex]
this results in our answer of:
x = 12
Now we put the value for x back into our variables to get the answers provided above.
