Answer to Question #94693 in Differential Equations for Masego

Question

An advertising agent goes on vacation to 3 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 x be the number of days in Australia, then x+5 is the number of days in India and 3x is the number of days in New Zealand.

Therefore, we get the equation

x+(x+5)+3x=40

5x+5=40

5x=35

x=7

He spent 7 days in Australia