Question

Trains Two trains, Train A and Train B. weigh a total of 196 tons. Train A is heavier than Train B. The

difference of their weights is 60 tons. What is the weight of each train?

Answer 1

Train A = 128

Train B = 68

Explanation:

We can set up a system of equations for this problem

Let A = # of tons of Train A

Let B = # of tons of Train B

A + B = 196

A = B + 60

Now, we plug in A for the first equation, using substitution

(B+60) + B = 196

2B + 60 = 196

Subtract 60 from both sides

2B = 136

Divide both sides by 2

B = 68

Plug in 68 for B in the 2nd equation

A = 68 + 60

A = 128

Checking work: 128 + 68 = 196 :D hope this helped