Write an invitation to one of your friends asking him/her to join your trip

Dear John,

I am writing to invite you to join me in my trip to Sydney this coming Christmas break. I plan to start the journey next Sunday and come back on January fifth.

I have also planned to visit several tourism sites on the itinerary, among which the most prominent ones are Sydney Tower and Opera House. They are appreciated worldwide, and I am sure we will have a good time there if you can come. In addition, we can also spoil ourselves in the marvellous beaches in Sydney, where we can swim and enjoy the sunshine since it's summer time there in Australia.

I originally planned to make this trip with my brother, but unfortunately, he has an important test to take, so he will not be able to join me.

Please let me know your decision by next Tuesday, and I look forward to your early reply.

Yours Sincerely,
JoggingMulberry

"To make a trip" is a common collocation most people use.