SOLUTION: the first aircraft has 81 more seats than the second aircraft. The third aircraft has 52 fewer seats than the second aircraft. If their total number of seats is 425, find the numbe

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Question 831621: the first aircraft has 81 more seats than the second aircraft. The third aircraft has 52 fewer seats than the second aircraft. If their total number of seats is 425, find the number of seats for each aircraft.
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the first aircraft
Let B be the second aircraft
Let C be the third aircraft
.
Here is the information given in the question:
A = B + 81 (the first aircraft has 81 more seats than the second aircraft.)
C = B - 52 (The third aircraft has 52 fewer seats than the second aircraft.)
A + B + C = 425 (their total number of seats is 425)
.
Now substitute the values in the 1st and 2nd equations into the 3rd.
(B+81) + B + (B-52) = 425
Add the Bs, and do the math
3B +29 = 425
Subtract 29 from each side
3B = 396
Divide each side by 3
B = 132
.
Since we know B, we can find A (132+81=213), and C (132-52=80).
Let's prove it by adding the three together.
213 + 132 + 80 = 425
Success!