Question

The total curb weight of a Toyota Tundra truck, a Ford Mustang car, and a Smart ForTwo car is 11,150 pounds. The weight of a Mustang is 5 pounds less than two Smart ForTwo cars. The Tundra weighs 2135 pounds greater than the Mustang. What is the curb weight of each vehicle? (Total 12 points)

a. Toyota Tundra: 3835 pounds, Ford Mustang: 1700 pounds, Smart ForTwo: 1530 pounds
b. Toyota Tundra: 3835 pounds, Ford Mustang: 1530 pounds, Smart ForTwo: 1700 pounds
c. Toyota Tundra: 5120 pounds, Ford Mustang: 2985 pounds, Smart ForTwo: 2985 pounds
d. Toyota Tundra: 2985 pounds, Ford Mustang: 5120 pounds, Smart ForTwo: 2985 pounds

Answer 1

To find the curb weight of each vehicle, we can set up a system of equations and solve for the weights. The weight of the Smart ForTwo car is 1805 pounds, the weight of the Mustang is 3605 pounds, and the weight of the Tundra is 5195 pounds.

Step-by-step explanation:

We can solve this problem by setting up a system of equations. Let's define the weight of the Smart ForTwo car as 'x'.

The weight of the Mustang is 5 pounds less than two Smart ForTwo cars, so it is 2x - 5.

The weight of the Tundra is 2135 pounds greater than the Mustang, so it is 2x - 5 + 2135.

According to the given information, the total curb weight of all three vehicles is 11,150 pounds.

Therefore, we can set up the equation: x + (2x - 5) + (2x - 5 + 2135) = 11,150.

Simplifying the equation, we get 5x + 2125 = 11,150.

Subtracting 2125 from both sides, we get 5x = 9025.

Dividing both sides by 5, we get x = 1805.

So, the weight of the Smart ForTwo car is 1805 pounds, the weight of the Mustang is 2(1805) - 5 = 3605 pounds, and the weight of the Tundra is 2(1805) - 5 + 2135 = 5195 pounds.