Buildings. Need to show steps. Please help

Question

building A is 376 meters taller than building B. If the height of building A is subtracted from twice the height of building B the result is 75 meters

 

what is the height of building A in meters. 

 

What is the ht of building B in meters

Answer 1

Hello Carolyn,

 

For word problems, when you see the word "is," it means equal. So when building A is 376 taller than building B, you would have A = B +376.

 

Then you said A subtracted from twice the height of B is 75meters. Twice means two times. Hence 2B - A=75

 

Now you have two equations

A = B + 376

2B - A = 75

 

Usually you would either use Substitution or Elimination method to solve systems of equations (more than 1 equation). Because we have one equation where it is A = , it is easier to use substitution where we can replace A with what A is equal to. Let's plug in A into the second equation.

2B - A = 75

2B - (B + 376) = 75

2B - B - 376 = 75

 

Then you can just keep going to solve for B. At the end, don't forget to plug in your answer for B into one of the equations, in order to solve for A as well.