Answer to Question #94785 in Algebra for Nelly

Question

An advertising agent goes on vacation to three countries, India, New Zealand and Australia. He spends three times the number of days in New Zealand than he does in Australia and five days longer in India than in Australia. If his total vacation duration is 40 days, how many days did he spend in Australia?

Answer 1

Let i be the number of day in India, n - in New Zealand, a - in Australia.

n=3a

i=a+5

i+n+a=40

So, a+5+3a+a=40

5a=35

a=7.

He spent 7 days in Australia.