10. Romeo is free from work every Sunday (and no other day). Juliet works on a cruise ship: she stays at sea for 10 days, then has two days off before boarding again for another 10 days, and so on. Today, Wednesday, November 23, 2016, Juliet is on land and will board tomorrow. How many days can Romeo and Juliet spend together until November 23, 2017?
(A) 9
(B) 8
(C) 10
(D) 7
(E) 5
Problem 10. The answer is $\mathbf{( A )}$.

Giulietta has two days off every 12 days, and the first days off after Tuesday, November 22, and Wednesday, November 23, will be a Sunday and a Monday. The subsequent times will be Friday-Saturday, Wednesday-Thursday, Monday-Tuesday, Saturday-Sunday, Thursday-Friday, and finally, it will repeat from Tuesday-Wednesday. The meetings between Romeo and Giulietta will therefore have a periodicity of $7 \cdot 12=84$ days, and the first two meetings will be after 11 and 60 days. Since there are 365 days in a year, the meetings will occur after 11, 60, 95, 144, 179, 228, 263, 312, 347 days, and there will be a total of 9 meetings.

(Problem proposed by P. Negrini)