Two trains, Train A and Train B, weigh a total of 389 tons. Train A is heavier than Train B. The difference of their weights is 263 tons. What is the weight of each train? Equation 1: Equation 2: Train A weight: Train B weight:

9514 1404 393

Step-by-step explanation:

The first equation is an expression of the first given relationship:

  A + B = 389 . . . . . . where A and B represents trains weights, respectively

The second equation is an expression of the relationship described in the next two sentences:

  A - B = 263

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These equations can be solved by adding them together:

  (A +B) +(A -B) = 389 +263

  2A = 652 . . . . . . simplify

  A = 326 . . . . . . . .divide by 2*

  B = 326 -263 = 63

Train A weighs 326 tons.

Train B weighs 63 tons.

* You may notice that this value is the average of the given sum and difference. That observation is true of all "sum and difference" problems.

for the points! : )

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