Question 325521: Three land lots have a TOTAL value of $96,000.
Lot A is $2,000 more than Lot B.
Lot B is $8,000 more than Lot C.
Q: What are the lot values for Lot A, B, and C?
Answer by info@email-tutors.com(9)   (Show Source):
You can put this solution on YOUR website! Hello:
Here is how we believe you should be able to solve the problem:
The total values of the lots is 96000. This means that a plus b plus c equals 96000: A + B + C = 96000
A = B+2000
Inserting this information into the equation, you get a different but equivalent equation:
(B + 2000) + B + C = 96000
However, B = C + 8000 transforming this information, we know that C = B - 8000
Inserting this information, you get:
(B + 2000) + B + (B - 8000)= 96000
This is equivalent to: 3B - 6000 = 96000
Add 6000 to both sides to get: 3B = 102000
Divide both sides by three to get: B = 34000
Using this value of B, you can find the rest of the numbers:
A = 34000 + 2000 = 36000
C = 34000 - 8000 = 26000
You can check your answer by adding: 36000 + 26000 + 34000
You will get 96000 as your answer.
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