SOLUTION: BUILDING A IS 170 FEET SHORTER THAN BUILDING B. THE TOTAL HEIGHT OF TH TWO BUILDINGS IS 1510 FEET. FIND THE HEIGHT OF EACH BUILDING.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: BUILDING A IS 170 FEET SHORTER THAN BUILDING B. THE TOTAL HEIGHT OF TH TWO BUILDINGS IS 1510 FEET. FIND THE HEIGHT OF EACH BUILDING.      Log On


   



Question 932041: BUILDING A IS 170 FEET SHORTER THAN BUILDING B. THE TOTAL HEIGHT OF TH TWO BUILDINGS IS 1510 FEET. FIND THE HEIGHT OF EACH BUILDING.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: B+=+A+%2B+170
Equation 2: A+%2B+B+=+1510
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Note that equation 1 is already solved for B
Plug (A + 170) into equation 2 for B
Equation 2: A+%2B+B+=+1510
A+%2B+%28A+%2B+170%29+=+1510
Combine like terms
2A+%2B+170+=+1510
Subtract 170 from both sides.
2A+=+1340
Divide both sides by 2
highlight%28A+=+670ft%29
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No go back and solve for B
Equation 1: B+=+A+%2B+170
B+=+%28670%29+%2B+170
highlight_green%28B+=+840ft%29