tough question

Question

The total curb weight of a truck, a car A, and a car B is 11,450 lb. The weight of car A is 15 lb less than the weight of two B cars. The truck weighs 2135 lb more than car A. What is the curb weight of each vehicle.

car A______ car B_________ Truck_________

Answer 1

Let x = weight of truck

     y = weight of car A

     z = weight of car B

 

x + y + z = 11450

            y = 2z - 15

            x = y + 2135

 

x = (2z - 15) + 2135  So, x = 2z + 2120

 

Substitute for x and y in the equation x + y + z = 11450 to get:

 

(2z + 2120) + (2z - 15) + z = 11450

 

5z + 2105 = 11450

 

5z = 9345   So, z = 1869

 

                        x = 2z + 2120 = 2(1869) + 2120 = 5858

 

                        y = 2z - 15 = 2(1869) - 15 = 3723

 

The truck weighs 5858 lb, car A weighs 3723 lb, car B weighs

1869 lb.