Final answer:
Using a system of equations, we determine the weight of the Smart For Two is 1804 pounds, the Ford Mustang is 3603 pounds, and the Toyota Tundra is 5738 pounds.
Step-by-step explanation:
To solve this problem, we need to set up equations based on the information given:
- Let S be the weight of a Smart For Two car.
- Let M be the weight of a Ford Mustang.
- Let T be the weight of a Toyota Tundra.
According to the data:
1. The total weight of the three vehicles is 11,150 pounds: T + M + S = 11,150.
2. The weight of the Mustang is 5 pounds less than two times the weight of a Smart For Two car: M = 2S - 5.
3. The Tundra weighs 2135 pounds more than the Mustang: T = M + 2135.
Substitute the values of M and T into the first equation:
(2S - 5) + S + (2S - 5 + 2135) = 11,150
5S + 2130 = 11,150
5S = 11,150 - 2130
5S = 9020
S = 1804
So, the curb weight of a Smart For Two car is 1804 pounds. Now calculate the Mustang and Tundra weights:
M = 2(1804) - 5 = 3603
T = 3603 + 2135 = 5738
The curb weight of each vehicle is:
- Toyota Tundra (T): 5738 pounds
- Ford Mustang (M): 3603 pounds
- Smart For Two (S): 1804 pounds