Could you please quickly check this sentence? Thank you very much.

1) The project is mainly centred on the cooperation among students. About twenty students taken from different second classes (aged 17) will participate in the project.
2) I really hope your science teachers will agree to participate in such a project. Our science teachers are all looking forward to your (favourable??) reply.

1) The project is mainly centred on the cooperation among students. About twenty students, age 17, selected from different second classes will participate in the project.

2) I really hope your science teachers will decide to participate in this project. Our science teachers are all looking forward to your favourable reply.

Certainly! I can check those sentences for you. Here are my suggestions:

1) The project primarily focuses on student cooperation. Around 20 students, selected from various second classes, aged 17, will participate in the project.

2) I genuinely hope that your science teachers will agree to participate in this project. Our science teachers are eagerly awaiting your positive response.

Please note that I have made a few adjustments for clarity and conciseness. However, the meaning of the sentences remains intact. If you have any further questions or need additional assistance, feel free to ask!