logic and reasoning chicken and rabbit problem

Question

at a local park some tricycles and bicycles were chained to a low railing. How many bicycles are there if:

a) they belonged to 2 children and I counted 5 wheels altogether?

b) they belonged to 3 children and I counted 8 wheels altogether?

c) they belonged to 4 children and I counted 10 wheels altogether?

d) they belonged to 9 children and I counted 25 wheels altogether?

Answer 1

3t + 2b = 5

2 kids, five wheels, by inspection alone you can see there is one bike and one trike.

b) they belonged to 3 children and I counted 8 wheels altogether?

3t + 2b = 8

By inspection, this is 2 trikes and one bike: 6 + 2 = 8, for three kids.

c) they belonged to 4 children and I counted 10 wheels altogether?

3t + 2b = 10

3 x 2 = 6; 2 x 2 = 4; 6 + 4 = 10

4 kids with 2 trikes and 2 bikes.

d) they belonged to 9 children and I counted 25 wheels altogether?

I bet you can do this one by yourself.