Mathematics: 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? (5 marks)

An advertising agent goes on vacation to three countries,

amyeileen

31.12.2021

7 days.

Step-by-step explanation:

Let the number of days agent spent in Australia be x.

Then, Number of days he spent in New Zealand = 3x

and number of days he spent in India = x+5

According to the question we have the following eqauation,

$x+3x+x+5=40\\\\\Rightarrow\ 5x+5=40\\\\\Rightarrow\ 5x=40-5\\\\\Rightarrow\ 5x=35\\\\\Rightarrow\ x=\dfrac{35}{5}=7$

Hence, he spent 7 days in Australia.

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