If there are four roads from town A to town B and three roads from town B to town C, how many routes are there from town A to town C which go through town B?

Question

If there are four roads from town A to town B and three roads from town B to town C, how many routes are there from town A to town C which go through town B?

Answer 1

For each of the 4 routes from town A to town B, we have 3 routes from town B to town C. And generally when we see the word "each" in a word problem, we want to multiply. So we have:

 

(4 routes from town A to town B)*(3 routes from town B to town C)

= 12 routes from A to C that go through B