Answer:
Weight of Train A = A = 237 tons
Weight of Train B = B = 96 tons
Step-by-step explanation:
Two trains train a and be weigh a total of 333 tons. Train A is heavier than train B.The difference of their weight is 141 tons… What is the weight of each train??
Let us represent:
Weight of Train A = A
Weight of Train B = B
Our system of Equations is given as:
A + B = 333 tons..... Equation 1
A - B = 141 tons....... Equation 2
We solve using Elimination method
We Add Equation 1 and 2 together to Eliminate B
Hence:
2A = 474 tons
A = 474 tons/2
A = 237 tons
Solving for B using Equation 1
A + B = 333 tons..... Equation 1
237 tons + B = 333 tons
B = 333 tons - 237 tons
B = 96 tons
Therefore:
Weight of Train A = A = 237 tons
Weight of Train B = B = 96 tons
