SOLUTION: A Mazda 6s weighs 20 pounds more than a Nissan Altima. A Honda Accord EX weighs 70 pounds more than a Nissan Altima. The total weight of all three cars is 10,050 pounds. How much d

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A Mazda 6s weighs 20 pounds more than a Nissan Altima. A Honda Accord EX weighs 70 pounds more than a Nissan Altima. The total weight of all three cars is 10,050 pounds. How much d      Log On

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Question 262365: A Mazda 6s weighs 20 pounds more than a Nissan Altima. A Honda Accord EX weighs 70 pounds more than a Nissan Altima. The total weight of all three cars is 10,050 pounds. How much does each car weigh?
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
Since both the Mazda and Honda depend on the Nissan, let's name a variable for the Nissan's weight, N. Since the Mazda weighs 20 pounds more, then it weighs N+20. Since the Honda weighs 70 pounds more, it weighs N+70. So since all together they weigh 10,050, we have that
Nissan + Mazda + Honda = 10,050
N + (N+20) + (N+70) = 10,050
3N + 90 = 10,050
3N = 9,960
N = 3,320
So the Nissan weighs 3,320 lbs. Since the Mazda is 20 more, the Mazda weighs 3,340 lbs, and since the Honda is 70 lbs more, the Honda weighs 3,390 lbs.