Нужно поставить правильное время Dear Sir, I (write)... to you to see whether your school (interest)... in taking part

Dear Sir, I am writing to you to see whether your school is interested in taking part in exchange visits with our school. Quite recently we have done research into various cities around the world and it seems that your city is quite similar to ours. Let me tell you something about it, in case you have heard the name before! It is in the north of England and its industry is making cars. I expect you might have seen some of the cars which are made here. We also have a very good theatre and a number of cinemas. And last year a new sport center was built. We understand that your city is also a nice place to visit. I think it would be great if an arrangement for exchange visits could be set up. We have found many families here who would be happy to receive students from your school and many of us are looking forward to visiting your city. Do you think there are families at your end who\'d like to do the same? Please let me know whether you think this is a good idea.