2. Numerous rabbits and chickens are confined in a big cage. There are 35 heads
2. Numerous rabbits and chickens are confined in a big cage. There are 35 heads and 140 legs. How many rabbits and how many chickens are in the cage? Solve this problem without using algebraic equations. Concentrate on the fact that a chicken has two fewer legs than a rabbit.
3. An instructor has a class with 150 students enrolled in it. In a class meeting she noticed that many but not everyone showed up. When she asked the students to self-countby every 3 (i.e, call out 1,2,3,1,2,3…) she observed that there were 2 students left (i.e., the total number of students in 3N+2, N is unknown). She repeated the count for every 5 students, she found 3 were left. Counting every seven students just left 1. What is the total of students in the classroom? Solve this problem without using algebraic equations.
