SOLUTION: Please help me solve this. I have the worst trouble with algebraic expressions...Aircraft A has 139 more seats than Aircraft B. If their total number of seats is 449, find the nu

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Question 493825: Please help me solve this. I have the worst trouble with algebraic expressions...Aircraft A has 139 more seats than Aircraft B. If their total number of seats is 449, find the number of seats for each aircraft.
Found 2 solutions by stanbon, mervh1967:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Please help me solve this. I have the worst trouble with algebraic expressions...Aircraft A has 139 more seats than Aircraft B. If their total number of seats is 449, find the number of seats for each aircraft.
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Let number of seats in Aircraft B be "b":
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Let number of seats in Aircraft A be "a":
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Equations:
a + b = 449
a = b + 139
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Substitute for "a" and solve for "b":
b+139 + b = 449
2b = 449-139
2b = 310
b = 155 seats (# of seats in Aircraft B)
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Solve for "a":
a = b + 139
a = 155 + 139
a = 294 seats (# of eats in Aircraft A)
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Cheers,
stan H.

Answer by mervh1967(6) (Show Source):
You can put this solution on YOUR website!
Let's write some equations!
The total number of seats is
and since A has 139 more seats than B
Now we can solve them.
inserting into the first eaquation leads to

so
therefore
and so
merv