To determine the smallest number of red rods for which an all-red train is equal in length to an all-blue train, we need to consider the lengths of the rods. Let's assume that the length ratio between red and blue rods is 2:3.
If we represent the number of red rods as "r" and the number of blue rods as "b," the total length of the all-red train would be (2r) and the total length of the all-blue train would be (3b).
For the two trains to be equal in length, we need the length of the all-red train to be equal to the length of the all-blue train, so we can set up the equation:
2r = 3b
To find the smallest number of red rods, we need to find the smallest whole number values for "r" and "b" that satisfy this equation. The smallest values that make the equation true are r = 3 and b = 2.
Therefore, the smallest number of red rods for which an all-red train is equal in length to an all-blue train is 3.
What is the smallest number of red rods for which an all-red train is equal in length to an all-blue train?
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