Respuesta :
Answer:
They spent 9 weeks in Australia, 11 weeks in Japan and 7 weeks in Sweden.
Step-by-step explanation:
A rock group plans to travel for a total of 27 weeks, making three concert stops in Japan, Australia and Sweden.
Let the number of weeks spent in Sweden be s.
Let the number of weeks spent in Japan be j.
Let the number of weeks spent in Australia be a.
This means that:
s + j + a = 27___________(1)
They will be in Japan for 2 more weeks than they will be in Australia. This means that:
j = a + 2 ______________(2)
Their stay in Sweden will be 2 weeks shorter than that in Australia. This means that:
s = a - 2 ______________(3)
We can replace s and j in (1) with (2) and (3):
=> a - 2 + a + 2 + a = 27
Collecting like terms:
a + a + a - 2 + 2 = 27
3a = 27
a = 27 / 3 = 9
The number of weeks they will spend in Australia is 9 weeks.
Putting this value of a in (2) and (3):
j = 9 + 2 = 11
and
s = 9 - 2 = 7
Therefore, they will spend 11 weeks in Japan and 7 weeks in Sweden.
