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Two​ trains, Train A and Train​ B, weigh a total of 368 tons. Train A is heavier than Train B. The difference of their weights is 340 tons. What is the weight of each​ train?

 

- Thanks in advance.

 Mar 17, 2021
 #1
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let's start by defining two variables: A and B, for trains A and B, respectively.

 

we can now create a system of equations:

 

A + B = 368 ("...weigh a total of 368 tons.")

A - B = 340 ("The difference of their weights is 340 tons.")

 

now, let's add up these two equations.

 

A + B + A - B = 368 + 340 

2A = 708

A = 354

 

to solve for B, we just plug in our value of A into one of our initial equations.

 

354 + B = 368

B = 368 - 354

B = 14

 

 

hope this helped! please let me know if you have any questions :)

 Mar 17, 2021
 #2
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Thank you for the help, no questions. Once again thank you I am very greatful.

Guest Mar 18, 2021

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