There are two solutions, equations and formulas, to Da Hui's new thinking mathematical olympiad in grade six. These questions are as follows:

① The team rested for X days, and the total number of tasks was Y. ..

Y/50*40+y/75*(40-x)=y Although it is a binary linear equation, Y can be simplified, and the solution is x=25.

(2) Team A's event is 40/50=4/5, that is, Team A's event is 4/5, so Team B's event is 1/5, and Team B's total event is 1/5 = 15 days, so Team B has a rest for 45 days.

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